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Finding the Fourth Proportional to 3,402.02, 5,098.91 and 1,552.65

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Solution

The fourth proportional to 3,402.02, 5,098.91 and 1,552.65 is: 2,327.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.02 : 5,098.91 = 1,552.65 : x
  2. Step 2: Convert to fraction form
    3,402.02/5,098.91 = 1,552.65/x
  3. Step 3: Cross multiply
    3,402.02x = 5,098.91 × 1,552.65
  4. Step 4: Simplify right side
    3,402.02x = 7,916,814.85
  5. Step 5: Solve for x
    x = 7,916,814.85/3,402.02
  6. Step 6: Final answer
    x = 2,327.10

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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.