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Finding the Fourth Proportional to 3,888.70, 5,833.91 and 1,423.46

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Solution

The fourth proportional to 3,888.70, 5,833.91 and 1,423.46 is: 2,135.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,888.70 : 5,833.91 = 1,423.46 : x
  2. Step 2: Convert to fraction form
    3,888.70/5,833.91 = 1,423.46/x
  3. Step 3: Cross multiply
    3,888.70x = 5,833.91 × 1,423.46
  4. Step 4: Simplify right side
    3,888.70x = 8,304,355.67
  5. Step 5: Solve for x
    x = 8,304,355.67/3,888.70
  6. Step 6: Final answer
    x = 2,135.51

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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.