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Finding the Fourth Proportional to 5,788.16, 7,987.84 and 3,304.96

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Solution

The fourth proportional to 5,788.16, 7,987.84 and 3,304.96 is: 4,560.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,788.16 : 7,987.84 = 3,304.96 : x
  2. Step 2: Convert to fraction form
    5,788.16/7,987.84 = 3,304.96/x
  3. Step 3: Cross multiply
    5,788.16x = 7,987.84 × 3,304.96
  4. Step 4: Simplify right side
    5,788.16x = 26,399,491.69
  5. Step 5: Solve for x
    x = 26,399,491.69/5,788.16
  6. Step 6: Final answer
    x = 4,560.95

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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.