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Finding the Fourth Proportional to 5,149.04, 7,712.63 and 4,367.19

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Solution

The fourth proportional to 5,149.04, 7,712.63 and 4,367.19 is: 6,541.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.04 : 7,712.63 = 4,367.19 : x
  2. Step 2: Convert to fraction form
    5,149.04/7,712.63 = 4,367.19/x
  3. Step 3: Cross multiply
    5,149.04x = 7,712.63 × 4,367.19
  4. Step 4: Simplify right side
    5,149.04x = 33,682,520.61
  5. Step 5: Solve for x
    x = 33,682,520.61/5,149.04
  6. Step 6: Final answer
    x = 6,541.51

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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.