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Finding the Fourth Proportional to 3,801.68, 5,702.28 and 2,341.04

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Solution

The fourth proportional to 3,801.68, 5,702.28 and 2,341.04 is: 3,511.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.68 : 5,702.28 = 2,341.04 : x
  2. Step 2: Convert to fraction form
    3,801.68/5,702.28 = 2,341.04/x
  3. Step 3: Cross multiply
    3,801.68x = 5,702.28 × 2,341.04
  4. Step 4: Simplify right side
    3,801.68x = 13,349,265.57
  5. Step 5: Solve for x
    x = 13,349,265.57/3,801.68
  6. Step 6: Final answer
    x = 3,511.41

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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.