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Finding the Fourth Proportional to 3,891.60, 5,370.46 and 2,298.30

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Solution

The fourth proportional to 3,891.60, 5,370.46 and 2,298.30 is: 3,171.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.60 : 5,370.46 = 2,298.30 : x
  2. Step 2: Convert to fraction form
    3,891.60/5,370.46 = 2,298.30/x
  3. Step 3: Cross multiply
    3,891.60x = 5,370.46 × 2,298.30
  4. Step 4: Simplify right side
    3,891.60x = 12,342,928.22
  5. Step 5: Solve for x
    x = 12,342,928.22/3,891.60
  6. Step 6: Final answer
    x = 3,171.68

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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.