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Finding the Fourth Proportional to 3,865.30, 5,797.92 and 1,400.11

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Solution

The fourth proportional to 3,865.30, 5,797.92 and 1,400.11 is: 2,100.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.30 : 5,797.92 = 1,400.11 : x
  2. Step 2: Convert to fraction form
    3,865.30/5,797.92 = 1,400.11/x
  3. Step 3: Cross multiply
    3,865.30x = 5,797.92 × 1,400.11
  4. Step 4: Simplify right side
    3,865.30x = 8,117,725.77
  5. Step 5: Solve for x
    x = 8,117,725.77/3,865.30
  6. Step 6: Final answer
    x = 2,100.15

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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.