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Finding the Fourth Proportional to 3,854.61, 5,319.41 and 2,175.68

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Solution

The fourth proportional to 3,854.61, 5,319.41 and 2,175.68 is: 3,002.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.61 : 5,319.41 = 2,175.68 : x
  2. Step 2: Convert to fraction form
    3,854.61/5,319.41 = 2,175.68/x
  3. Step 3: Cross multiply
    3,854.61x = 5,319.41 × 2,175.68
  4. Step 4: Simplify right side
    3,854.61x = 11,573,336.37
  5. Step 5: Solve for x
    x = 11,573,336.37/3,854.61
  6. Step 6: Final answer
    x = 3,002.47

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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.