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Finding the Fourth Proportional to 5,760.40, 8,638.74 and 1,863.88

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Solution

The fourth proportional to 5,760.40, 8,638.74 and 1,863.88 is: 2,795.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,760.40 : 8,638.74 = 1,863.88 : x
  2. Step 2: Convert to fraction form
    5,760.40/8,638.74 = 1,863.88/x
  3. Step 3: Cross multiply
    5,760.40x = 8,638.74 × 1,863.88
  4. Step 4: Simplify right side
    5,760.40x = 16,101,574.71
  5. Step 5: Solve for x
    x = 16,101,574.71/5,760.40
  6. Step 6: Final answer
    x = 2,795.22

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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.