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Finding the Fourth Proportional to 3,888.90, 5,836.32 and 2,851.65

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Solution

The fourth proportional to 3,888.90, 5,836.32 and 2,851.65 is: 4,279.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,888.90 : 5,836.32 = 2,851.65 : x
  2. Step 2: Convert to fraction form
    3,888.90/5,836.32 = 2,851.65/x
  3. Step 3: Cross multiply
    3,888.90x = 5,836.32 × 2,851.65
  4. Step 4: Simplify right side
    3,888.90x = 16,643,141.93
  5. Step 5: Solve for x
    x = 16,643,141.93/3,888.90
  6. Step 6: Final answer
    x = 4,279.65

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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.