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Finding the Fourth Proportional to 5,200.16, 7,801.58 and 1,502.66

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Solution

The fourth proportional to 5,200.16, 7,801.58 and 1,502.66 is: 2,254.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.16 : 7,801.58 = 1,502.66 : x
  2. Step 2: Convert to fraction form
    5,200.16/7,801.58 = 1,502.66/x
  3. Step 3: Cross multiply
    5,200.16x = 7,801.58 × 1,502.66
  4. Step 4: Simplify right side
    5,200.16x = 11,723,145.46
  5. Step 5: Solve for x
    x = 11,723,145.46/5,200.16
  6. Step 6: Final answer
    x = 2,254.38

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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.