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Finding the Fourth Proportional to 5,813.17, 8,714.59 and 2,114.71

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Solution

The fourth proportional to 5,813.17, 8,714.59 and 2,114.71 is: 3,170.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,813.17 : 8,714.59 = 2,114.71 : x
  2. Step 2: Convert to fraction form
    5,813.17/8,714.59 = 2,114.71/x
  3. Step 3: Cross multiply
    5,813.17x = 8,714.59 × 2,114.71
  4. Step 4: Simplify right side
    5,813.17x = 18,428,803.55
  5. Step 5: Solve for x
    x = 18,428,803.55/5,813.17
  6. Step 6: Final answer
    x = 3,170.18

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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.