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Finding the Fourth Proportional to 5,345.44, 7,961.76 and 5,068

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Solution

The fourth proportional to 5,345.44, 7,961.76 and 5,068 is: 7,548.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,345.44 : 7,961.76 = 5,068 : x
  2. Step 2: Convert to fraction form
    5,345.44/7,961.76 = 5,068/x
  3. Step 3: Cross multiply
    5,345.44x = 7,961.76 × 5,068
  4. Step 4: Simplify right side
    5,345.44x = 40,350,199.68
  5. Step 5: Solve for x
    x = 40,350,199.68/5,345.44
  6. Step 6: Final answer
    x = 7,548.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.