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Finding the Fourth Proportional to 3,535.68, 5,304.12 and 1,456.81

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Solution

The fourth proportional to 3,535.68, 5,304.12 and 1,456.81 is: 2,185.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,535.68 : 5,304.12 = 1,456.81 : x
  2. Step 2: Convert to fraction form
    3,535.68/5,304.12 = 1,456.81/x
  3. Step 3: Cross multiply
    3,535.68x = 5,304.12 × 1,456.81
  4. Step 4: Simplify right side
    3,535.68x = 7,727,095.06
  5. Step 5: Solve for x
    x = 7,727,095.06/3,535.68
  6. Step 6: Final answer
    x = 2,185.46

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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.