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Finding the Fourth Proportional to 3,104.52, 4,653 and 2,377.14

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Solution

The fourth proportional to 3,104.52, 4,653 and 2,377.14 is: 3,562.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.52 : 4,653 = 2,377.14 : x
  2. Step 2: Convert to fraction form
    3,104.52/4,653 = 2,377.14/x
  3. Step 3: Cross multiply
    3,104.52x = 4,653 × 2,377.14
  4. Step 4: Simplify right side
    3,104.52x = 11,060,832.42
  5. Step 5: Solve for x
    x = 11,060,832.42/3,104.52
  6. Step 6: Final answer
    x = 3,562.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.