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Finding the Fourth Proportional to 5,158.13, 7,737.19 and 2,080.13

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Solution

The fourth proportional to 5,158.13, 7,737.19 and 2,080.13 is: 3,120.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,158.13 : 7,737.19 = 2,080.13 : x
  2. Step 2: Convert to fraction form
    5,158.13/7,737.19 = 2,080.13/x
  3. Step 3: Cross multiply
    5,158.13x = 7,737.19 × 2,080.13
  4. Step 4: Simplify right side
    5,158.13x = 16,094,317.15
  5. Step 5: Solve for x
    x = 16,094,317.15/5,158.13
  6. Step 6: Final answer
    x = 3,120.19

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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.