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Finding the Fourth Proportional to 3,675.17, 5,069.84 and 2,347.47

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Solution

The fourth proportional to 3,675.17, 5,069.84 and 2,347.47 is: 3,238.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675.17 : 5,069.84 = 2,347.47 : x
  2. Step 2: Convert to fraction form
    3,675.17/5,069.84 = 2,347.47/x
  3. Step 3: Cross multiply
    3,675.17x = 5,069.84 × 2,347.47
  4. Step 4: Simplify right side
    3,675.17x = 11,901,285.57
  5. Step 5: Solve for x
    x = 11,901,285.57/3,675.17
  6. Step 6: Final answer
    x = 3,238.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.