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Finding the Fourth Proportional to 5,084.16, 7,615.98 and 3,983.28

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Solution

The fourth proportional to 5,084.16, 7,615.98 and 3,983.28 is: 5,966.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,084.16 : 7,615.98 = 3,983.28 : x
  2. Step 2: Convert to fraction form
    5,084.16/7,615.98 = 3,983.28/x
  3. Step 3: Cross multiply
    5,084.16x = 7,615.98 × 3,983.28
  4. Step 4: Simplify right side
    5,084.16x = 30,336,580.81
  5. Step 5: Solve for x
    x = 30,336,580.81/5,084.16
  6. Step 6: Final answer
    x = 5,966.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.