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Finding the Fourth Proportional to 4,002.74, 6,002.72 and 1,503.48

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Solution

The fourth proportional to 4,002.74, 6,002.72 and 1,503.48 is: 2,254.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,002.74 : 6,002.72 = 1,503.48 : x
  2. Step 2: Convert to fraction form
    4,002.74/6,002.72 = 1,503.48/x
  3. Step 3: Cross multiply
    4,002.74x = 6,002.72 × 1,503.48
  4. Step 4: Simplify right side
    4,002.74x = 9,024,969.47
  5. Step 5: Solve for x
    x = 9,024,969.47/4,002.74
  6. Step 6: Final answer
    x = 2,254.70

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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.