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Finding the Fourth Proportional to 3,964.71, 5,466.12 and 3,411.13

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Solution

The fourth proportional to 3,964.71, 5,466.12 and 3,411.13 is: 4,702.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.71 : 5,466.12 = 3,411.13 : x
  2. Step 2: Convert to fraction form
    3,964.71/5,466.12 = 3,411.13/x
  3. Step 3: Cross multiply
    3,964.71x = 5,466.12 × 3,411.13
  4. Step 4: Simplify right side
    3,964.71x = 18,645,619.46
  5. Step 5: Solve for x
    x = 18,645,619.46/3,964.71
  6. Step 6: Final answer
    x = 4,702.89

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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.