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Finding the Fourth Proportional to 5,605,052.96, 7,734,996.77 and 3,157,693.31

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Solution

The fourth proportional to 5,605,052.96, 7,734,996.77 and 3,157,693.31 is: 4,357,630.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,605,052.96 : 7,734,996.77 = 3,157,693.31 : x
  2. Step 2: Convert to fraction form
    5,605,052.96/7,734,996.77 = 3,157,693.31/x
  3. Step 3: Cross multiply
    5,605,052.96x = 7,734,996.77 × 3,157,693.31
  4. Step 4: Simplify right side
    5,605,052.96x = 24,424,747,499,037.16
  5. Step 5: Solve for x
    x = 24,424,747,499,037.16/5,605,052.96
  6. Step 6: Final answer
    x = 4,357,630.11

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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.