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Finding the Fourth Proportional to 5,034.47, 7,551.71 and 1,337.00

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Solution

The fourth proportional to 5,034.47, 7,551.71 and 1,337.00 is: 2,005.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,034.47 : 7,551.71 = 1,337.00 : x
  2. Step 2: Convert to fraction form
    5,034.47/7,551.71 = 1,337.00/x
  3. Step 3: Cross multiply
    5,034.47x = 7,551.71 × 1,337.00
  4. Step 4: Simplify right side
    5,034.47x = 10,096,591.83
  5. Step 5: Solve for x
    x = 10,096,591.83/5,034.47
  6. Step 6: Final answer
    x = 2,005.49

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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.