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Finding the Fourth Proportional to 4,122.74, 6,184.10 and 1,002.71

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Solution

The fourth proportional to 4,122.74, 6,184.10 and 1,002.71 is: 1,504.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,122.74 : 6,184.10 = 1,002.71 : x
  2. Step 2: Convert to fraction form
    4,122.74/6,184.10 = 1,002.71/x
  3. Step 3: Cross multiply
    4,122.74x = 6,184.10 × 1,002.71
  4. Step 4: Simplify right side
    4,122.74x = 6,200,822.98
  5. Step 5: Solve for x
    x = 6,200,822.98/4,122.74
  6. Step 6: Final answer
    x = 1,504.06

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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.