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Finding the Fourth Proportional to 5,354.64, 7,393.32 and 3,865.86

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Solution

The fourth proportional to 5,354.64, 7,393.32 and 3,865.86 is: 5,337.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,354.64 : 7,393.32 = 3,865.86 : x
  2. Step 2: Convert to fraction form
    5,354.64/7,393.32 = 3,865.86/x
  3. Step 3: Cross multiply
    5,354.64x = 7,393.32 × 3,865.86
  4. Step 4: Simplify right side
    5,354.64x = 28,581,540.06
  5. Step 5: Solve for x
    x = 28,581,540.06/5,354.64
  6. Step 6: Final answer
    x = 5,337.71

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