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Finding the Fourth Proportional to 3,497.60, 5,243.63 and 2,398.70

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Solution

The fourth proportional to 3,497.60, 5,243.63 and 2,398.70 is: 3,596.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.60 : 5,243.63 = 2,398.70 : x
  2. Step 2: Convert to fraction form
    3,497.60/5,243.63 = 2,398.70/x
  3. Step 3: Cross multiply
    3,497.60x = 5,243.63 × 2,398.70
  4. Step 4: Simplify right side
    3,497.60x = 12,577,895.28
  5. Step 5: Solve for x
    x = 12,577,895.28/3,497.60
  6. Step 6: Final answer
    x = 3,596.15

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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.