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Finding the Fourth Proportional to 3,775.20, 5,657.03 and 2,538.02

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Solution

The fourth proportional to 3,775.20, 5,657.03 and 2,538.02 is: 3,803.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.20 : 5,657.03 = 2,538.02 : x
  2. Step 2: Convert to fraction form
    3,775.20/5,657.03 = 2,538.02/x
  3. Step 3: Cross multiply
    3,775.20x = 5,657.03 × 2,538.02
  4. Step 4: Simplify right side
    3,775.20x = 14,357,656.73
  5. Step 5: Solve for x
    x = 14,357,656.73/3,775.20
  6. Step 6: Final answer
    x = 3,803.15

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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.