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Finding the Fourth Proportional to 5,787.50, 8,681.65 and 2,865.02

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Solution

The fourth proportional to 5,787.50, 8,681.65 and 2,865.02 is: 4,297.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787.50 : 8,681.65 = 2,865.02 : x
  2. Step 2: Convert to fraction form
    5,787.50/8,681.65 = 2,865.02/x
  3. Step 3: Cross multiply
    5,787.50x = 8,681.65 × 2,865.02
  4. Step 4: Simplify right side
    5,787.50x = 24,873,057.47
  5. Step 5: Solve for x
    x = 24,873,057.47/5,787.50
  6. Step 6: Final answer
    x = 4,297.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.