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Finding the Fourth Proportional to 3,564.39, 5,342.25 and 2,524.70

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Solution

The fourth proportional to 3,564.39, 5,342.25 and 2,524.70 is: 3,783.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.39 : 5,342.25 = 2,524.70 : x
  2. Step 2: Convert to fraction form
    3,564.39/5,342.25 = 2,524.70/x
  3. Step 3: Cross multiply
    3,564.39x = 5,342.25 × 2,524.70
  4. Step 4: Simplify right side
    3,564.39x = 13,487,551.86
  5. Step 5: Solve for x
    x = 13,487,551.86/3,564.39
  6. Step 6: Final answer
    x = 3,783.97

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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.