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Finding the Fourth Proportional to 5,146.88, 7,720.52 and 2,647.40

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Solution

The fourth proportional to 5,146.88, 7,720.52 and 2,647.40 is: 3,971.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146.88 : 7,720.52 = 2,647.40 : x
  2. Step 2: Convert to fraction form
    5,146.88/7,720.52 = 2,647.40/x
  3. Step 3: Cross multiply
    5,146.88x = 7,720.52 × 2,647.40
  4. Step 4: Simplify right side
    5,146.88x = 20,439,304.65
  5. Step 5: Solve for x
    x = 20,439,304.65/5,146.88
  6. Step 6: Final answer
    x = 3,971.20

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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.