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Finding the Fourth Proportional to 5,787.19, 8,681.19 and 2,864.71

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Solution

The fourth proportional to 5,787.19, 8,681.19 and 2,864.71 is: 4,297.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787.19 : 8,681.19 = 2,864.71 : x
  2. Step 2: Convert to fraction form
    5,787.19/8,681.19 = 2,864.71/x
  3. Step 3: Cross multiply
    5,787.19x = 8,681.19 × 2,864.71
  4. Step 4: Simplify right side
    5,787.19x = 24,869,034.08
  5. Step 5: Solve for x
    x = 24,869,034.08/5,787.19
  6. Step 6: Final answer
    x = 4,297.26

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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.