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Finding the Fourth Proportional to 5,747.90, 8,622.45 and 1,587.94

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Solution

The fourth proportional to 5,747.90, 8,622.45 and 1,587.94 is: 2,382.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,747.90 : 8,622.45 = 1,587.94 : x
  2. Step 2: Convert to fraction form
    5,747.90/8,622.45 = 1,587.94/x
  3. Step 3: Cross multiply
    5,747.90x = 8,622.45 × 1,587.94
  4. Step 4: Simplify right side
    5,747.90x = 13,691,911.70
  5. Step 5: Solve for x
    x = 13,691,911.70/5,747.90
  6. Step 6: Final answer
    x = 2,382.07

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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.