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Finding the Fourth Proportional to 5,659.34, 8,488.92 and 1,763.96

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Solution

The fourth proportional to 5,659.34, 8,488.92 and 1,763.96 is: 2,645.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,659.34 : 8,488.92 = 1,763.96 : x
  2. Step 2: Convert to fraction form
    5,659.34/8,488.92 = 1,763.96/x
  3. Step 3: Cross multiply
    5,659.34x = 8,488.92 × 1,763.96
  4. Step 4: Simplify right side
    5,659.34x = 14,974,115.32
  5. Step 5: Solve for x
    x = 14,974,115.32/5,659.34
  6. Step 6: Final answer
    x = 2,645.91

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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.