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Finding the Fourth Proportional to 5,200.02, 7,801.32 and 1,502.16

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Solution

The fourth proportional to 5,200.02, 7,801.32 and 1,502.16 is: 2,253.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.02 : 7,801.32 = 1,502.16 : x
  2. Step 2: Convert to fraction form
    5,200.02/7,801.32 = 1,502.16/x
  3. Step 3: Cross multiply
    5,200.02x = 7,801.32 × 1,502.16
  4. Step 4: Simplify right side
    5,200.02x = 11,718,830.85
  5. Step 5: Solve for x
    x = 11,718,830.85/5,200.02
  6. Step 6: Final answer
    x = 2,253.61

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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.