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Finding the Fourth Proportional to 3,866.58, 5,337.77 and 2,374.83

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Solution

The fourth proportional to 3,866.58, 5,337.77 and 2,374.83 is: 3,278.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.58 : 5,337.77 = 2,374.83 : x
  2. Step 2: Convert to fraction form
    3,866.58/5,337.77 = 2,374.83/x
  3. Step 3: Cross multiply
    3,866.58x = 5,337.77 × 2,374.83
  4. Step 4: Simplify right side
    3,866.58x = 12,676,284.45
  5. Step 5: Solve for x
    x = 12,676,284.45/3,866.58
  6. Step 6: Final answer
    x = 3,278.42

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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.