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Finding the Fourth Proportional to 4,962.57, 6,848.01 and 2,724

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Solution

The fourth proportional to 4,962.57, 6,848.01 and 2,724 is: 3,758.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,962.57 : 6,848.01 = 2,724 : x
  2. Step 2: Convert to fraction form
    4,962.57/6,848.01 = 2,724/x
  3. Step 3: Cross multiply
    4,962.57x = 6,848.01 × 2,724
  4. Step 4: Simplify right side
    4,962.57x = 18,653,979.24
  5. Step 5: Solve for x
    x = 18,653,979.24/4,962.57
  6. Step 6: Final answer
    x = 3,758.94

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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.