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Finding the Fourth Proportional to 5,143.01, 7,704.18 and 2,365.80

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Solution

The fourth proportional to 5,143.01, 7,704.18 and 2,365.80 is: 3,543.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,143.01 : 7,704.18 = 2,365.80 : x
  2. Step 2: Convert to fraction form
    5,143.01/7,704.18 = 2,365.80/x
  3. Step 3: Cross multiply
    5,143.01x = 7,704.18 × 2,365.80
  4. Step 4: Simplify right side
    5,143.01x = 18,226,549.04
  5. Step 5: Solve for x
    x = 18,226,549.04/5,143.01
  6. Step 6: Final answer
    x = 3,543.95

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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.