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Finding the Fourth Proportional to 3,497.40, 5,246.10 and 2,395.80

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Solution

The fourth proportional to 3,497.40, 5,246.10 and 2,395.80 is: 3,593.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.40 : 5,246.10 = 2,395.80 : x
  2. Step 2: Convert to fraction form
    3,497.40/5,246.10 = 2,395.80/x
  3. Step 3: Cross multiply
    3,497.40x = 5,246.10 × 2,395.80
  4. Step 4: Simplify right side
    3,497.40x = 12,568,606.38
  5. Step 5: Solve for x
    x = 12,568,606.38/3,497.40
  6. Step 6: Final answer
    x = 3,593.70

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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.