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Finding the Fourth Proportional to 5,605,054.96, 7,734,999.53 and 3,157,695.31

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Solution

The fourth proportional to 5,605,054.96, 7,734,999.53 and 3,157,695.31 is: 4,357,632.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,605,054.96 : 7,734,999.53 = 3,157,695.31 : x
  2. Step 2: Convert to fraction form
    5,605,054.96/7,734,999.53 = 3,157,695.31/x
  3. Step 3: Cross multiply
    5,605,054.96x = 7,734,999.53 × 3,157,695.31
  4. Step 4: Simplify right side
    5,605,054.96x = 24,424,771,738,733.21
  5. Step 5: Solve for x
    x = 24,424,771,738,733.21/5,605,054.96
  6. Step 6: Final answer
    x = 4,357,632.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.