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Finding the Fourth Proportional to 3,746.67, 5,170.49 and 2,175.68

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Solution

The fourth proportional to 3,746.67, 5,170.49 and 2,175.68 is: 3,002.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,746.67 : 5,170.49 = 2,175.68 : x
  2. Step 2: Convert to fraction form
    3,746.67/5,170.49 = 2,175.68/x
  3. Step 3: Cross multiply
    3,746.67x = 5,170.49 × 2,175.68
  4. Step 4: Simplify right side
    3,746.67x = 11,249,294.95
  5. Step 5: Solve for x
    x = 11,249,294.95/3,746.67
  6. Step 6: Final answer
    x = 3,002.48

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