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Finding the Fourth Proportional to 3,535.83, 4,866.94 and 3,117.25

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Solution

The fourth proportional to 3,535.83, 4,866.94 and 3,117.25 is: 4,290.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,535.83 : 4,866.94 = 3,117.25 : x
  2. Step 2: Convert to fraction form
    3,535.83/4,866.94 = 3,117.25/x
  3. Step 3: Cross multiply
    3,535.83x = 4,866.94 × 3,117.25
  4. Step 4: Simplify right side
    3,535.83x = 15,171,468.72
  5. Step 5: Solve for x
    x = 15,171,468.72/3,535.83
  6. Step 6: Final answer
    x = 4,290.78

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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.