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Finding the Fourth Proportional to 5,204.57, 7,805.56 and 2,042.66

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Solution

The fourth proportional to 5,204.57, 7,805.56 and 2,042.66 is: 3,063.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204.57 : 7,805.56 = 2,042.66 : x
  2. Step 2: Convert to fraction form
    5,204.57/7,805.56 = 2,042.66/x
  3. Step 3: Cross multiply
    5,204.57x = 7,805.56 × 2,042.66
  4. Step 4: Simplify right side
    5,204.57x = 15,944,068.72
  5. Step 5: Solve for x
    x = 15,944,068.72/5,204.57
  6. Step 6: Final answer
    x = 3,063.47

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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.