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Finding the Fourth Proportional to 3,613.12, 4,987.50 and 3,107

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Solution

The fourth proportional to 3,613.12, 4,987.50 and 3,107 is: 4,288.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613.12 : 4,987.50 = 3,107 : x
  2. Step 2: Convert to fraction form
    3,613.12/4,987.50 = 3,107/x
  3. Step 3: Cross multiply
    3,613.12x = 4,987.50 × 3,107
  4. Step 4: Simplify right side
    3,613.12x = 15,496,162.50
  5. Step 5: Solve for x
    x = 15,496,162.50/3,613.12
  6. Step 6: Final answer
    x = 4,288.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.