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Finding the Fourth Proportional to 3,530.90, 4,863.42 and 3,268.16

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Solution

The fourth proportional to 3,530.90, 4,863.42 and 3,268.16 is: 4,501.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,530.90 : 4,863.42 = 3,268.16 : x
  2. Step 2: Convert to fraction form
    3,530.90/4,863.42 = 3,268.16/x
  3. Step 3: Cross multiply
    3,530.90x = 4,863.42 × 3,268.16
  4. Step 4: Simplify right side
    3,530.90x = 15,894,434.71
  5. Step 5: Solve for x
    x = 15,894,434.71/3,530.90
  6. Step 6: Final answer
    x = 4,501.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.