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Finding the Fourth Proportional to 3,802.76, 5,702.22 and 1,493

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Solution

The fourth proportional to 3,802.76, 5,702.22 and 1,493 is: 2,238.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.76 : 5,702.22 = 1,493 : x
  2. Step 2: Convert to fraction form
    3,802.76/5,702.22 = 1,493/x
  3. Step 3: Cross multiply
    3,802.76x = 5,702.22 × 1,493
  4. Step 4: Simplify right side
    3,802.76x = 8,513,414.46
  5. Step 5: Solve for x
    x = 8,513,414.46/3,802.76
  6. Step 6: Final answer
    x = 2,238.75

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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.