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Finding the Fourth Proportional to 4,266.24, 5,886.24 and 2,693.76

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Solution

The fourth proportional to 4,266.24, 5,886.24 and 2,693.76 is: 3,716.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,266.24 : 5,886.24 = 2,693.76 : x
  2. Step 2: Convert to fraction form
    4,266.24/5,886.24 = 2,693.76/x
  3. Step 3: Cross multiply
    4,266.24x = 5,886.24 × 2,693.76
  4. Step 4: Simplify right side
    4,266.24x = 15,856,117.86
  5. Step 5: Solve for x
    x = 15,856,117.86/4,266.24
  6. Step 6: Final answer
    x = 3,716.65

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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.