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Finding the Fourth Proportional to 5,345.49, 7,375.12 and 3,106.95

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Solution

The fourth proportional to 5,345.49, 7,375.12 and 3,106.95 is: 4,286.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,345.49 : 7,375.12 = 3,106.95 : x
  2. Step 2: Convert to fraction form
    5,345.49/7,375.12 = 3,106.95/x
  3. Step 3: Cross multiply
    5,345.49x = 7,375.12 × 3,106.95
  4. Step 4: Simplify right side
    5,345.49x = 22,914,129.08
  5. Step 5: Solve for x
    x = 22,914,129.08/5,345.49
  6. Step 6: Final answer
    x = 4,286.63

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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.