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Finding the Fourth Proportional to 5,250.68, 7,876.04 and 1,787.94

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Solution

The fourth proportional to 5,250.68, 7,876.04 and 1,787.94 is: 2,681.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,250.68 : 7,876.04 = 1,787.94 : x
  2. Step 2: Convert to fraction form
    5,250.68/7,876.04 = 1,787.94/x
  3. Step 3: Cross multiply
    5,250.68x = 7,876.04 × 1,787.94
  4. Step 4: Simplify right side
    5,250.68x = 14,081,886.96
  5. Step 5: Solve for x
    x = 14,081,886.96/5,250.68
  6. Step 6: Final answer
    x = 2,681.92

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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.