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Finding the Fourth Proportional to 3,862.96, 5,792.23 and 2,547.42

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Solution

The fourth proportional to 3,862.96, 5,792.23 and 2,547.42 is: 3,819.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.96 : 5,792.23 = 2,547.42 : x
  2. Step 2: Convert to fraction form
    3,862.96/5,792.23 = 2,547.42/x
  3. Step 3: Cross multiply
    3,862.96x = 5,792.23 × 2,547.42
  4. Step 4: Simplify right side
    3,862.96x = 14,755,231.17
  5. Step 5: Solve for x
    x = 14,755,231.17/3,862.96
  6. Step 6: Final answer
    x = 3,819.67

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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.