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Finding the Fourth Proportional to 3,775.60, 5,209.68 and 2,203.76

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Solution

The fourth proportional to 3,775.60, 5,209.68 and 2,203.76 is: 3,040.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.60 : 5,209.68 = 2,203.76 : x
  2. Step 2: Convert to fraction form
    3,775.60/5,209.68 = 2,203.76/x
  3. Step 3: Cross multiply
    3,775.60x = 5,209.68 × 2,203.76
  4. Step 4: Simplify right side
    3,775.60x = 11,480,884.40
  5. Step 5: Solve for x
    x = 11,480,884.40/3,775.60
  6. Step 6: Final answer
    x = 3,040.81

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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.