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Finding the Fourth Proportional to 3,235.65, 4,854.11 and 1,288.05

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Solution

The fourth proportional to 3,235.65, 4,854.11 and 1,288.05 is: 1,932.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,235.65 : 4,854.11 = 1,288.05 : x
  2. Step 2: Convert to fraction form
    3,235.65/4,854.11 = 1,288.05/x
  3. Step 3: Cross multiply
    3,235.65x = 4,854.11 × 1,288.05
  4. Step 4: Simplify right side
    3,235.65x = 6,252,329.95
  5. Step 5: Solve for x
    x = 6,252,329.95/3,235.65
  6. Step 6: Final answer
    x = 1,932.33

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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.