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Finding the Fourth Proportional to 5,251.84, 7,876.08 and 1,789.60

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Solution

The fourth proportional to 5,251.84, 7,876.08 and 1,789.60 is: 2,683.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,251.84 : 7,876.08 = 1,789.60 : x
  2. Step 2: Convert to fraction form
    5,251.84/7,876.08 = 1,789.60/x
  3. Step 3: Cross multiply
    5,251.84x = 7,876.08 × 1,789.60
  4. Step 4: Simplify right side
    5,251.84x = 14,095,032.77
  5. Step 5: Solve for x
    x = 14,095,032.77/5,251.84
  6. Step 6: Final answer
    x = 2,683.83

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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.