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Finding the Fourth Proportional to 3,676.44, 5,074.32 and 2,417.61

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Solution

The fourth proportional to 3,676.44, 5,074.32 and 2,417.61 is: 3,336.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.44 : 5,074.32 = 2,417.61 : x
  2. Step 2: Convert to fraction form
    3,676.44/5,074.32 = 2,417.61/x
  3. Step 3: Cross multiply
    3,676.44x = 5,074.32 × 2,417.61
  4. Step 4: Simplify right side
    3,676.44x = 12,267,726.78
  5. Step 5: Solve for x
    x = 12,267,726.78/3,676.44
  6. Step 6: Final answer
    x = 3,336.85

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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.