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Finding the Fourth Proportional to 5,784.85, 7,983.11 and 3,132.25

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Solution

The fourth proportional to 5,784.85, 7,983.11 and 3,132.25 is: 4,322.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.85 : 7,983.11 = 3,132.25 : x
  2. Step 2: Convert to fraction form
    5,784.85/7,983.11 = 3,132.25/x
  3. Step 3: Cross multiply
    5,784.85x = 7,983.11 × 3,132.25
  4. Step 4: Simplify right side
    5,784.85x = 25,005,084.17
  5. Step 5: Solve for x
    x = 25,005,084.17/5,784.85
  6. Step 6: Final answer
    x = 4,322.51

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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.