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Finding the Fourth Proportional to 5,232.71, 7,849.04 and 1,337.11

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Solution

The fourth proportional to 5,232.71, 7,849.04 and 1,337.11 is: 2,005.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,232.71 : 7,849.04 = 1,337.11 : x
  2. Step 2: Convert to fraction form
    5,232.71/7,849.04 = 1,337.11/x
  3. Step 3: Cross multiply
    5,232.71x = 7,849.04 × 1,337.11
  4. Step 4: Simplify right side
    5,232.71x = 10,495,047.72
  5. Step 5: Solve for x
    x = 10,495,047.72/5,232.71
  6. Step 6: Final answer
    x = 2,005.66

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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.