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Finding the Fourth Proportional to 3,888.57, 5,833.04 and 1,697.25

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Solution

The fourth proportional to 3,888.57, 5,833.04 and 1,697.25 is: 2,545.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,888.57 : 5,833.04 = 1,697.25 : x
  2. Step 2: Convert to fraction form
    3,888.57/5,833.04 = 1,697.25/x
  3. Step 3: Cross multiply
    3,888.57x = 5,833.04 × 1,697.25
  4. Step 4: Simplify right side
    3,888.57x = 9,900,118.65
  5. Step 5: Solve for x
    x = 9,900,118.65/3,888.57
  6. Step 6: Final answer
    x = 2,545.95

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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.