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Finding the Fourth Proportional to 3,497.60, 5,245.80 and 1,305.20

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Solution

The fourth proportional to 3,497.60, 5,245.80 and 1,305.20 is: 1,957.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.60 : 5,245.80 = 1,305.20 : x
  2. Step 2: Convert to fraction form
    3,497.60/5,245.80 = 1,305.20/x
  3. Step 3: Cross multiply
    3,497.60x = 5,245.80 × 1,305.20
  4. Step 4: Simplify right side
    3,497.60x = 6,846,818.16
  5. Step 5: Solve for x
    x = 6,846,818.16/3,497.60
  6. Step 6: Final answer
    x = 1,957.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.