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Finding the Fourth Proportional to 5,505.74, 7,596.06 and 3,146.20

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Solution

The fourth proportional to 5,505.74, 7,596.06 and 3,146.20 is: 4,340.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,505.74 : 7,596.06 = 3,146.20 : x
  2. Step 2: Convert to fraction form
    5,505.74/7,596.06 = 3,146.20/x
  3. Step 3: Cross multiply
    5,505.74x = 7,596.06 × 3,146.20
  4. Step 4: Simplify right side
    5,505.74x = 23,898,723.97
  5. Step 5: Solve for x
    x = 23,898,723.97/5,505.74
  6. Step 6: Final answer
    x = 4,340.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.