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Finding the Fourth Proportional to 5,362.44, 7,400.16 and 3,266.57

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Solution

The fourth proportional to 5,362.44, 7,400.16 and 3,266.57 is: 4,507.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,362.44 : 7,400.16 = 3,266.57 : x
  2. Step 2: Convert to fraction form
    5,362.44/7,400.16 = 3,266.57/x
  3. Step 3: Cross multiply
    5,362.44x = 7,400.16 × 3,266.57
  4. Step 4: Simplify right side
    5,362.44x = 24,173,117.53
  5. Step 5: Solve for x
    x = 24,173,117.53/5,362.44
  6. Step 6: Final answer
    x = 4,507.86

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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.