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Finding the Fourth Proportional to 3,987.87, 5,502.63 and 2,309.14

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Solution

The fourth proportional to 3,987.87, 5,502.63 and 2,309.14 is: 3,186.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,987.87 : 5,502.63 = 2,309.14 : x
  2. Step 2: Convert to fraction form
    3,987.87/5,502.63 = 2,309.14/x
  3. Step 3: Cross multiply
    3,987.87x = 5,502.63 × 2,309.14
  4. Step 4: Simplify right side
    3,987.87x = 12,706,343.04
  5. Step 5: Solve for x
    x = 12,706,343.04/3,987.87
  6. Step 6: Final answer
    x = 3,186.25

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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.