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Finding the Fourth Proportional to 4,962.50, 6,848.24 and 2,724.42

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Solution

The fourth proportional to 4,962.50, 6,848.24 and 2,724.42 is: 3,759.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,962.50 : 6,848.24 = 2,724.42 : x
  2. Step 2: Convert to fraction form
    4,962.50/6,848.24 = 2,724.42/x
  3. Step 3: Cross multiply
    4,962.50x = 6,848.24 × 2,724.42
  4. Step 4: Simplify right side
    4,962.50x = 18,657,482.02
  5. Step 5: Solve for x
    x = 18,657,482.02/4,962.50
  6. Step 6: Final answer
    x = 3,759.69

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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.