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Finding the Fourth Proportional to 3,454.47, 4,767.03 and 1,882.62

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Solution

The fourth proportional to 3,454.47, 4,767.03 and 1,882.62 is: 2,597.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.47 : 4,767.03 = 1,882.62 : x
  2. Step 2: Convert to fraction form
    3,454.47/4,767.03 = 1,882.62/x
  3. Step 3: Cross multiply
    3,454.47x = 4,767.03 × 1,882.62
  4. Step 4: Simplify right side
    3,454.47x = 8,974,506.02
  5. Step 5: Solve for x
    x = 8,974,506.02/3,454.47
  6. Step 6: Final answer
    x = 2,597.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.