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Finding the Fourth Proportional to 4,508.38, 6,763.95 and 1,546.90

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Solution

The fourth proportional to 4,508.38, 6,763.95 and 1,546.90 is: 2,320.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,508.38 : 6,763.95 = 1,546.90 : x
  2. Step 2: Convert to fraction form
    4,508.38/6,763.95 = 1,546.90/x
  3. Step 3: Cross multiply
    4,508.38x = 6,763.95 × 1,546.90
  4. Step 4: Simplify right side
    4,508.38x = 10,463,154.26
  5. Step 5: Solve for x
    x = 10,463,154.26/4,508.38
  6. Step 6: Final answer
    x = 2,320.82

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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.