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Finding the Fourth Proportional to 3,444.38, 5,165.65 and 1,496.13

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Solution

The fourth proportional to 3,444.38, 5,165.65 and 1,496.13 is: 2,243.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,444.38 : 5,165.65 = 1,496.13 : x
  2. Step 2: Convert to fraction form
    3,444.38/5,165.65 = 1,496.13/x
  3. Step 3: Cross multiply
    3,444.38x = 5,165.65 × 1,496.13
  4. Step 4: Simplify right side
    3,444.38x = 7,728,483.93
  5. Step 5: Solve for x
    x = 7,728,483.93/3,444.38
  6. Step 6: Final answer
    x = 2,243.80

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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.