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Finding the Fourth Proportional to 5,029.72, 7,543.69 and 1,332

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Solution

The fourth proportional to 5,029.72, 7,543.69 and 1,332 is: 1,997.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,029.72 : 7,543.69 = 1,332 : x
  2. Step 2: Convert to fraction form
    5,029.72/7,543.69 = 1,332/x
  3. Step 3: Cross multiply
    5,029.72x = 7,543.69 × 1,332
  4. Step 4: Simplify right side
    5,029.72x = 10,048,191.75
  5. Step 5: Solve for x
    x = 10,048,191.75/5,029.72
  6. Step 6: Final answer
    x = 1,997.76

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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.