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Finding the Fourth Proportional to 4,151.57, 6,225.17 and 2,042.28

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Solution

The fourth proportional to 4,151.57, 6,225.17 and 2,042.28 is: 3,062.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,151.57 : 6,225.17 = 2,042.28 : x
  2. Step 2: Convert to fraction form
    4,151.57/6,225.17 = 2,042.28/x
  3. Step 3: Cross multiply
    4,151.57x = 6,225.17 × 2,042.28
  4. Step 4: Simplify right side
    4,151.57x = 12,713,529.98
  5. Step 5: Solve for x
    x = 12,713,529.98/4,151.57
  6. Step 6: Final answer
    x = 3,062.35

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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.