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Finding the Fourth Proportional to 3,890.01, 5,833.02 and 1,424.19

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Solution

The fourth proportional to 3,890.01, 5,833.02 and 1,424.19 is: 2,135.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,890.01 : 5,833.02 = 1,424.19 : x
  2. Step 2: Convert to fraction form
    3,890.01/5,833.02 = 1,424.19/x
  3. Step 3: Cross multiply
    3,890.01x = 5,833.02 × 1,424.19
  4. Step 4: Simplify right side
    3,890.01x = 8,307,328.75
  5. Step 5: Solve for x
    x = 8,307,328.75/3,890.01
  6. Step 6: Final answer
    x = 2,135.55

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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.