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Finding the Fourth Proportional to 2,647.17, 3,951.15 and 2,335.83

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Solution

The fourth proportional to 2,647.17, 3,951.15 and 2,335.83 is: 3,486.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.17 : 3,951.15 = 2,335.83 : x
  2. Step 2: Convert to fraction form
    2,647.17/3,951.15 = 2,335.83/x
  3. Step 3: Cross multiply
    2,647.17x = 3,951.15 × 2,335.83
  4. Step 4: Simplify right side
    2,647.17x = 9,229,214.70
  5. Step 5: Solve for x
    x = 9,229,214.70/2,647.17
  6. Step 6: Final answer
    x = 3,486.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.