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Finding the Fourth Proportional to 3,902.57, 5,851.12 and 1,437.08

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Solution

The fourth proportional to 3,902.57, 5,851.12 and 1,437.08 is: 2,154.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.57 : 5,851.12 = 1,437.08 : x
  2. Step 2: Convert to fraction form
    3,902.57/5,851.12 = 1,437.08/x
  3. Step 3: Cross multiply
    3,902.57x = 5,851.12 × 1,437.08
  4. Step 4: Simplify right side
    3,902.57x = 8,408,497.38
  5. Step 5: Solve for x
    x = 8,408,497.38/3,902.57
  6. Step 6: Final answer
    x = 2,154.60

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Why These Related Problems?

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