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Finding the Fourth Proportional to 5,200.32, 7,801.92 and 4,627.20

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Solution

The fourth proportional to 5,200.32, 7,801.92 and 4,627.20 is: 6,942.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.32 : 7,801.92 = 4,627.20 : x
  2. Step 2: Convert to fraction form
    5,200.32/7,801.92 = 4,627.20/x
  3. Step 3: Cross multiply
    5,200.32x = 7,801.92 × 4,627.20
  4. Step 4: Simplify right side
    5,200.32x = 36,101,044.22
  5. Step 5: Solve for x
    x = 36,101,044.22/5,200.32
  6. Step 6: Final answer
    x = 6,942.08

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