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Finding the Fourth Proportional to 3,129.28, 4,693.32 and 937.52

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Solution

The fourth proportional to 3,129.28, 4,693.32 and 937.52 is: 1,406.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.28 : 4,693.32 = 937.52 : x
  2. Step 2: Convert to fraction form
    3,129.28/4,693.32 = 937.52/x
  3. Step 3: Cross multiply
    3,129.28x = 4,693.32 × 937.52
  4. Step 4: Simplify right side
    3,129.28x = 4,400,081.37
  5. Step 5: Solve for x
    x = 4,400,081.37/3,129.28
  6. Step 6: Final answer
    x = 1,406.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.