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Finding the Fourth Proportional to 3,888.87, 5,833.80 and 1,424.85

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Solution

The fourth proportional to 3,888.87, 5,833.80 and 1,424.85 is: 2,137.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,888.87 : 5,833.80 = 1,424.85 : x
  2. Step 2: Convert to fraction form
    3,888.87/5,833.80 = 1,424.85/x
  3. Step 3: Cross multiply
    3,888.87x = 5,833.80 × 1,424.85
  4. Step 4: Simplify right side
    3,888.87x = 8,312,289.93
  5. Step 5: Solve for x
    x = 8,312,289.93/3,888.87
  6. Step 6: Final answer
    x = 2,137.46

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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.