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Finding the Fourth Proportional to 3,017.74, 4,527.82 and 1,375.06

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Solution

The fourth proportional to 3,017.74, 4,527.82 and 1,375.06 is: 2,063.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,017.74 : 4,527.82 = 1,375.06 : x
  2. Step 2: Convert to fraction form
    3,017.74/4,527.82 = 1,375.06/x
  3. Step 3: Cross multiply
    3,017.74x = 4,527.82 × 1,375.06
  4. Step 4: Simplify right side
    3,017.74x = 6,226,024.17
  5. Step 5: Solve for x
    x = 6,226,024.17/3,017.74
  6. Step 6: Final answer
    x = 2,063.14

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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.