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Finding the Fourth Proportional to 4,962.56, 6,848.04 and 2,724

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Solution

The fourth proportional to 4,962.56, 6,848.04 and 2,724 is: 3,758.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,962.56 : 6,848.04 = 2,724 : x
  2. Step 2: Convert to fraction form
    4,962.56/6,848.04 = 2,724/x
  3. Step 3: Cross multiply
    4,962.56x = 6,848.04 × 2,724
  4. Step 4: Simplify right side
    4,962.56x = 18,654,060.96
  5. Step 5: Solve for x
    x = 18,654,060.96/4,962.56
  6. Step 6: Final answer
    x = 3,758.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.