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Finding the Fourth Proportional to 4,962.83, 6,849 and 2,724.93

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Solution

The fourth proportional to 4,962.83, 6,849 and 2,724.93 is: 3,760.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,962.83 : 6,849 = 2,724.93 : x
  2. Step 2: Convert to fraction form
    4,962.83/6,849 = 2,724.93/x
  3. Step 3: Cross multiply
    4,962.83x = 6,849 × 2,724.93
  4. Step 4: Simplify right side
    4,962.83x = 18,663,045.57
  5. Step 5: Solve for x
    x = 18,663,045.57/4,962.83
  6. Step 6: Final answer
    x = 3,760.57

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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.