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Finding the Fourth Proportional to 3,878.57, 5,820.29 and 2,031.17

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Solution

The fourth proportional to 3,878.57, 5,820.29 and 2,031.17 is: 3,048.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.57 : 5,820.29 = 2,031.17 : x
  2. Step 2: Convert to fraction form
    3,878.57/5,820.29 = 2,031.17/x
  3. Step 3: Cross multiply
    3,878.57x = 5,820.29 × 2,031.17
  4. Step 4: Simplify right side
    3,878.57x = 11,821,959.18
  5. Step 5: Solve for x
    x = 11,821,959.18/3,878.57
  6. Step 6: Final answer
    x = 3,048.02

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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.