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Finding the Fourth Proportional to 4,177.77, 5,765.02 and 2,289.05

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Solution

The fourth proportional to 4,177.77, 5,765.02 and 2,289.05 is: 3,158.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,177.77 : 5,765.02 = 2,289.05 : x
  2. Step 2: Convert to fraction form
    4,177.77/5,765.02 = 2,289.05/x
  3. Step 3: Cross multiply
    4,177.77x = 5,765.02 × 2,289.05
  4. Step 4: Simplify right side
    4,177.77x = 13,196,427.72
  5. Step 5: Solve for x
    x = 13,196,427.72/4,177.77
  6. Step 6: Final answer
    x = 3,158.73

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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.