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Finding the Fourth Proportional to 5,266.83, 7,266.34 and 3,112.92

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Solution

The fourth proportional to 5,266.83, 7,266.34 and 3,112.92 is: 4,294.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,266.83 : 7,266.34 = 3,112.92 : x
  2. Step 2: Convert to fraction form
    5,266.83/7,266.34 = 3,112.92/x
  3. Step 3: Cross multiply
    5,266.83x = 7,266.34 × 3,112.92
  4. Step 4: Simplify right side
    5,266.83x = 22,619,564.92
  5. Step 5: Solve for x
    x = 22,619,564.92/5,266.83
  6. Step 6: Final answer
    x = 4,294.72

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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.