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Finding the Fourth Proportional to 4,832.61, 7,248.77 and 2,057.88

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Solution

The fourth proportional to 4,832.61, 7,248.77 and 2,057.88 is: 3,086.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,832.61 : 7,248.77 = 2,057.88 : x
  2. Step 2: Convert to fraction form
    4,832.61/7,248.77 = 2,057.88/x
  3. Step 3: Cross multiply
    4,832.61x = 7,248.77 × 2,057.88
  4. Step 4: Simplify right side
    4,832.61x = 14,917,098.81
  5. Step 5: Solve for x
    x = 14,917,098.81/4,832.61
  6. Step 6: Final answer
    x = 3,086.76

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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.