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Finding the Fourth Proportional to 5,476.68, 8,215.02 and 1,581.66

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Solution

The fourth proportional to 5,476.68, 8,215.02 and 1,581.66 is: 2,372.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,476.68 : 8,215.02 = 1,581.66 : x
  2. Step 2: Convert to fraction form
    5,476.68/8,215.02 = 1,581.66/x
  3. Step 3: Cross multiply
    5,476.68x = 8,215.02 × 1,581.66
  4. Step 4: Simplify right side
    5,476.68x = 12,993,368.53
  5. Step 5: Solve for x
    x = 12,993,368.53/5,476.68
  6. Step 6: Final answer
    x = 2,372.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.