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Finding the Fourth Proportional to 4,152.75, 5,731.20 and 2,289.75

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Solution

The fourth proportional to 4,152.75, 5,731.20 and 2,289.75 is: 3,160.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,152.75 : 5,731.20 = 2,289.75 : x
  2. Step 2: Convert to fraction form
    4,152.75/5,731.20 = 2,289.75/x
  3. Step 3: Cross multiply
    4,152.75x = 5,731.20 × 2,289.75
  4. Step 4: Simplify right side
    4,152.75x = 13,123,015.20
  5. Step 5: Solve for x
    x = 13,123,015.20/4,152.75
  6. Step 6: Final answer
    x = 3,160.08

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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.