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Finding the Fourth Proportional to 3,535.29, 5,304.47 and 1,686.42

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Solution

The fourth proportional to 3,535.29, 5,304.47 and 1,686.42 is: 2,530.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,535.29 : 5,304.47 = 1,686.42 : x
  2. Step 2: Convert to fraction form
    3,535.29/5,304.47 = 1,686.42/x
  3. Step 3: Cross multiply
    3,535.29x = 5,304.47 × 1,686.42
  4. Step 4: Simplify right side
    3,535.29x = 8,945,555.87
  5. Step 5: Solve for x
    x = 8,945,555.87/3,535.29
  6. Step 6: Final answer
    x = 2,530.36

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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.