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Finding the Fourth Proportional to 3,386.61, 5,078.87 and 1,306.44

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Solution

The fourth proportional to 3,386.61, 5,078.87 and 1,306.44 is: 1,959.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,386.61 : 5,078.87 = 1,306.44 : x
  2. Step 2: Convert to fraction form
    3,386.61/5,078.87 = 1,306.44/x
  3. Step 3: Cross multiply
    3,386.61x = 5,078.87 × 1,306.44
  4. Step 4: Simplify right side
    3,386.61x = 6,635,237.29
  5. Step 5: Solve for x
    x = 6,635,237.29/3,386.61
  6. Step 6: Final answer
    x = 1,959.26

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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.