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Finding the Fourth Proportional to 5,114.18, 7,671 and 1,604.15

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Solution

The fourth proportional to 5,114.18, 7,671 and 1,604.15 is: 2,406.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.18 : 7,671 = 1,604.15 : x
  2. Step 2: Convert to fraction form
    5,114.18/7,671 = 1,604.15/x
  3. Step 3: Cross multiply
    5,114.18x = 7,671 × 1,604.15
  4. Step 4: Simplify right side
    5,114.18x = 12,305,434.65
  5. Step 5: Solve for x
    x = 12,305,434.65/5,114.18
  6. Step 6: Final answer
    x = 2,406.14

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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.