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Finding the Fourth Proportional to 3,754.75, 5,182.77 and 2,357.50

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Solution

The fourth proportional to 3,754.75, 5,182.77 and 2,357.50 is: 3,254.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.75 : 5,182.77 = 2,357.50 : x
  2. Step 2: Convert to fraction form
    3,754.75/5,182.77 = 2,357.50/x
  3. Step 3: Cross multiply
    3,754.75x = 5,182.77 × 2,357.50
  4. Step 4: Simplify right side
    3,754.75x = 12,218,380.28
  5. Step 5: Solve for x
    x = 12,218,380.28/3,754.75
  6. Step 6: Final answer
    x = 3,254.11

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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.