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Finding the Fourth Proportional to 3,565.42, 5,347.98 and 932.88

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Solution

The fourth proportional to 3,565.42, 5,347.98 and 932.88 is: 1,399.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.42 : 5,347.98 = 932.88 : x
  2. Step 2: Convert to fraction form
    3,565.42/5,347.98 = 932.88/x
  3. Step 3: Cross multiply
    3,565.42x = 5,347.98 × 932.88
  4. Step 4: Simplify right side
    3,565.42x = 4,989,035.36
  5. Step 5: Solve for x
    x = 4,989,035.36/3,565.42
  6. Step 6: Final answer
    x = 1,399.28

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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.