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Finding the Fourth Proportional to 5,029.70, 7,545 and 1,331.88

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Solution

The fourth proportional to 5,029.70, 7,545 and 1,331.88 is: 1,997.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,029.70 : 7,545 = 1,331.88 : x
  2. Step 2: Convert to fraction form
    5,029.70/7,545 = 1,331.88/x
  3. Step 3: Cross multiply
    5,029.70x = 7,545 × 1,331.88
  4. Step 4: Simplify right side
    5,029.70x = 10,049,034.60
  5. Step 5: Solve for x
    x = 10,049,034.60/5,029.70
  6. Step 6: Final answer
    x = 1,997.94

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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.