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Finding the Fourth Proportional to 3,905.79, 5,859.54 and 1,132.49

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Solution

The fourth proportional to 3,905.79, 5,859.54 and 1,132.49 is: 1,698.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,905.79 : 5,859.54 = 1,132.49 : x
  2. Step 2: Convert to fraction form
    3,905.79/5,859.54 = 1,132.49/x
  3. Step 3: Cross multiply
    3,905.79x = 5,859.54 × 1,132.49
  4. Step 4: Simplify right side
    3,905.79x = 6,635,841.16
  5. Step 5: Solve for x
    x = 6,635,841.16/3,905.79
  6. Step 6: Final answer
    x = 1,698.98

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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.