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Finding the Fourth Proportional to 5,787.48, 8,681.63 and 2,865

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Solution

The fourth proportional to 5,787.48, 8,681.63 and 2,865 is: 4,297.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787.48 : 8,681.63 = 2,865 : x
  2. Step 2: Convert to fraction form
    5,787.48/8,681.63 = 2,865/x
  3. Step 3: Cross multiply
    5,787.48x = 8,681.63 × 2,865
  4. Step 4: Simplify right side
    5,787.48x = 24,872,869.95
  5. Step 5: Solve for x
    x = 24,872,869.95/5,787.48
  6. Step 6: Final answer
    x = 4,297.70

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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.