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Finding the Fourth Proportional to 3,846.96, 5,307.84 and 2,275.56

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Solution

The fourth proportional to 3,846.96, 5,307.84 and 2,275.56 is: 3,139.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.96 : 5,307.84 = 2,275.56 : x
  2. Step 2: Convert to fraction form
    3,846.96/5,307.84 = 2,275.56/x
  3. Step 3: Cross multiply
    3,846.96x = 5,307.84 × 2,275.56
  4. Step 4: Simplify right side
    3,846.96x = 12,078,308.39
  5. Step 5: Solve for x
    x = 12,078,308.39/3,846.96
  6. Step 6: Final answer
    x = 3,139.70

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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.