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Finding the Fourth Proportional to 5,346.86, 7,378.89 and 2,989

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Solution

The fourth proportional to 5,346.86, 7,378.89 and 2,989 is: 4,124.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,346.86 : 7,378.89 = 2,989 : x
  2. Step 2: Convert to fraction form
    5,346.86/7,378.89 = 2,989/x
  3. Step 3: Cross multiply
    5,346.86x = 7,378.89 × 2,989
  4. Step 4: Simplify right side
    5,346.86x = 22,055,502.21
  5. Step 5: Solve for x
    x = 22,055,502.21/5,346.86
  6. Step 6: Final answer
    x = 4,124.94

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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.