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Finding the Fourth Proportional to 3,987.84, 5,503.30 and 2,309.28

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Solution

The fourth proportional to 3,987.84, 5,503.30 and 2,309.28 is: 3,186.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,987.84 : 5,503.30 = 2,309.28 : x
  2. Step 2: Convert to fraction form
    3,987.84/5,503.30 = 2,309.28/x
  3. Step 3: Cross multiply
    3,987.84x = 5,503.30 × 2,309.28
  4. Step 4: Simplify right side
    3,987.84x = 12,708,660.62
  5. Step 5: Solve for x
    x = 12,708,660.62/3,987.84
  6. Step 6: Final answer
    x = 3,186.85

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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.