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Finding the Fourth Proportional to 5,449.64, 7,521.54 and 3,092

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Solution

The fourth proportional to 5,449.64, 7,521.54 and 3,092 is: 4,267.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,449.64 : 7,521.54 = 3,092 : x
  2. Step 2: Convert to fraction form
    5,449.64/7,521.54 = 3,092/x
  3. Step 3: Cross multiply
    5,449.64x = 7,521.54 × 3,092
  4. Step 4: Simplify right side
    5,449.64x = 23,256,601.68
  5. Step 5: Solve for x
    x = 23,256,601.68/5,449.64
  6. Step 6: Final answer
    x = 4,267.55

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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.