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Finding the Fourth Proportional to 5,760.16, 8,638.08 and 2,680

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Solution

The fourth proportional to 5,760.16, 8,638.08 and 2,680 is: 4,019.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,760.16 : 8,638.08 = 2,680 : x
  2. Step 2: Convert to fraction form
    5,760.16/8,638.08 = 2,680/x
  3. Step 3: Cross multiply
    5,760.16x = 8,638.08 × 2,680
  4. Step 4: Simplify right side
    5,760.16x = 23,150,054.40
  5. Step 5: Solve for x
    x = 23,150,054.40/5,760.16
  6. Step 6: Final answer
    x = 4,019.00

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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.