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Finding the Fourth Proportional to 5,344.58, 7,375.30 and 3,106.35

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Solution

The fourth proportional to 5,344.58, 7,375.30 and 3,106.35 is: 4,286.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,344.58 : 7,375.30 = 3,106.35 : x
  2. Step 2: Convert to fraction form
    5,344.58/7,375.30 = 3,106.35/x
  3. Step 3: Cross multiply
    5,344.58x = 7,375.30 × 3,106.35
  4. Step 4: Simplify right side
    5,344.58x = 22,910,263.16
  5. Step 5: Solve for x
    x = 22,910,263.16/5,344.58
  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.