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Finding the Fourth Proportional to 3,474.47, 5,207.38 and 1,524.71

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Solution

The fourth proportional to 3,474.47, 5,207.38 and 1,524.71 is: 2,285.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.47 : 5,207.38 = 1,524.71 : x
  2. Step 2: Convert to fraction form
    3,474.47/5,207.38 = 1,524.71/x
  3. Step 3: Cross multiply
    3,474.47x = 5,207.38 × 1,524.71
  4. Step 4: Simplify right side
    3,474.47x = 7,939,742.62
  5. Step 5: Solve for x
    x = 7,939,742.62/3,474.47
  6. Step 6: Final answer
    x = 2,285.17

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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.