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Finding the Fourth Proportional to 3,496.80, 5,243.52 and 2,036.40

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Solution

The fourth proportional to 3,496.80, 5,243.52 and 2,036.40 is: 3,053.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.80 : 5,243.52 = 2,036.40 : x
  2. Step 2: Convert to fraction form
    3,496.80/5,243.52 = 2,036.40/x
  3. Step 3: Cross multiply
    3,496.80x = 5,243.52 × 2,036.40
  4. Step 4: Simplify right side
    3,496.80x = 10,677,904.13
  5. Step 5: Solve for x
    x = 10,677,904.13/3,496.80
  6. Step 6: Final answer
    x = 3,053.62

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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.