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Finding the Fourth Proportional to 5,731.66, 8,598.57 and 4,084.12

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Solution

The fourth proportional to 5,731.66, 8,598.57 and 4,084.12 is: 6,126.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731.66 : 8,598.57 = 4,084.12 : x
  2. Step 2: Convert to fraction form
    5,731.66/8,598.57 = 4,084.12/x
  3. Step 3: Cross multiply
    5,731.66x = 8,598.57 × 4,084.12
  4. Step 4: Simplify right side
    5,731.66x = 35,117,591.71
  5. Step 5: Solve for x
    x = 35,117,591.71/5,731.66
  6. Step 6: Final answer
    x = 6,126.95

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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.