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Finding the Fourth Proportional to 3,708.52, 5,564.67 and 1,760.74

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Solution

The fourth proportional to 3,708.52, 5,564.67 and 1,760.74 is: 2,642.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,708.52 : 5,564.67 = 1,760.74 : x
  2. Step 2: Convert to fraction form
    3,708.52/5,564.67 = 1,760.74/x
  3. Step 3: Cross multiply
    3,708.52x = 5,564.67 × 1,760.74
  4. Step 4: Simplify right side
    3,708.52x = 9,797,937.06
  5. Step 5: Solve for x
    x = 9,797,937.06/3,708.52
  6. Step 6: Final answer
    x = 2,642.01

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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.