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Finding the Fourth Proportional to 3,762.71, 5,652.71 and 2,654.67

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Solution

The fourth proportional to 3,762.71, 5,652.71 and 2,654.67 is: 3,988.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.71 : 5,652.71 = 2,654.67 : x
  2. Step 2: Convert to fraction form
    3,762.71/5,652.71 = 2,654.67/x
  3. Step 3: Cross multiply
    3,762.71x = 5,652.71 × 2,654.67
  4. Step 4: Simplify right side
    3,762.71x = 15,006,079.66
  5. Step 5: Solve for x
    x = 15,006,079.66/3,762.71
  6. Step 6: Final answer
    x = 3,988.11

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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.