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Finding the Fourth Proportional to 3,117.48, 4,687.15 and 2,609

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Solution

The fourth proportional to 3,117.48, 4,687.15 and 2,609 is: 3,922.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.48 : 4,687.15 = 2,609 : x
  2. Step 2: Convert to fraction form
    3,117.48/4,687.15 = 2,609/x
  3. Step 3: Cross multiply
    3,117.48x = 4,687.15 × 2,609
  4. Step 4: Simplify right side
    3,117.48x = 12,228,774.35
  5. Step 5: Solve for x
    x = 12,228,774.35/3,117.48
  6. Step 6: Final answer
    x = 3,922.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.