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Finding the Fourth Proportional to 5,105.67, 7,045.72 and 2,867.50

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Solution

The fourth proportional to 5,105.67, 7,045.72 and 2,867.50 is: 3,957.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,105.67 : 7,045.72 = 2,867.50 : x
  2. Step 2: Convert to fraction form
    5,105.67/7,045.72 = 2,867.50/x
  3. Step 3: Cross multiply
    5,105.67x = 7,045.72 × 2,867.50
  4. Step 4: Simplify right side
    5,105.67x = 20,203,602.10
  5. Step 5: Solve for x
    x = 20,203,602.10/5,105.67
  6. Step 6: Final answer
    x = 3,957.09

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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.