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Finding the Fourth Proportional to 3,585.82, 5,335.36 and 3,496.54

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Solution

The fourth proportional to 3,585.82, 5,335.36 and 3,496.54 is: 5,202.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.82 : 5,335.36 = 3,496.54 : x
  2. Step 2: Convert to fraction form
    3,585.82/5,335.36 = 3,496.54/x
  3. Step 3: Cross multiply
    3,585.82x = 5,335.36 × 3,496.54
  4. Step 4: Simplify right side
    3,585.82x = 18,655,299.65
  5. Step 5: Solve for x
    x = 18,655,299.65/3,585.82
  6. Step 6: Final answer
    x = 5,202.52

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.