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Finding the Fourth Proportional to 5,114.39, 7,686.02 and 3,034.78

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Solution

The fourth proportional to 5,114.39, 7,686.02 and 3,034.78 is: 4,560.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.39 : 7,686.02 = 3,034.78 : x
  2. Step 2: Convert to fraction form
    5,114.39/7,686.02 = 3,034.78/x
  3. Step 3: Cross multiply
    5,114.39x = 7,686.02 × 3,034.78
  4. Step 4: Simplify right side
    5,114.39x = 23,325,368.15
  5. Step 5: Solve for x
    x = 23,325,368.15/5,114.39
  6. Step 6: Final answer
    x = 4,560.74

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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.