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Finding the Fourth Proportional to 3,923.17, 5,407.47 and 3,819.29

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Solution

The fourth proportional to 3,923.17, 5,407.47 and 3,819.29 is: 5,264.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,923.17 : 5,407.47 = 3,819.29 : x
  2. Step 2: Convert to fraction form
    3,923.17/5,407.47 = 3,819.29/x
  3. Step 3: Cross multiply
    3,923.17x = 5,407.47 × 3,819.29
  4. Step 4: Simplify right side
    3,923.17x = 20,652,689.34
  5. Step 5: Solve for x
    x = 20,652,689.34/3,923.17
  6. Step 6: Final answer
    x = 5,264.28

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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.