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Finding the Fourth Proportional to 5,486, 8,229.86 and 1,787.36

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Solution

The fourth proportional to 5,486, 8,229.86 and 1,787.36 is: 2,681.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,486 : 8,229.86 = 1,787.36 : x
  2. Step 2: Convert to fraction form
    5,486/8,229.86 = 1,787.36/x
  3. Step 3: Cross multiply
    5,486x = 8,229.86 × 1,787.36
  4. Step 4: Simplify right side
    5,486x = 14,709,722.57
  5. Step 5: Solve for x
    x = 14,709,722.57/5,486
  6. Step 6: Final answer
    x = 2,681.32

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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.