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Finding the Fourth Proportional to 5,278.69, 7,919.16 and 1,581.22

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Solution

The fourth proportional to 5,278.69, 7,919.16 and 1,581.22 is: 2,372.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,278.69 : 7,919.16 = 1,581.22 : x
  2. Step 2: Convert to fraction form
    5,278.69/7,919.16 = 1,581.22/x
  3. Step 3: Cross multiply
    5,278.69x = 7,919.16 × 1,581.22
  4. Step 4: Simplify right side
    5,278.69x = 12,521,934.18
  5. Step 5: Solve for x
    x = 12,521,934.18/5,278.69
  6. Step 6: Final answer
    x = 2,372.17

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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.