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Finding the Fourth Proportional to 4,328.71, 5,966.64 and 3,760.09

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Solution

The fourth proportional to 4,328.71, 5,966.64 and 3,760.09 is: 5,182.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,328.71 : 5,966.64 = 3,760.09 : x
  2. Step 2: Convert to fraction form
    4,328.71/5,966.64 = 3,760.09/x
  3. Step 3: Cross multiply
    4,328.71x = 5,966.64 × 3,760.09
  4. Step 4: Simplify right side
    4,328.71x = 22,435,103.40
  5. Step 5: Solve for x
    x = 22,435,103.40/4,328.71
  6. Step 6: Final answer
    x = 5,182.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.