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Finding the Fourth Proportional to 5,736.18, 7,902.30 and 5,391.66

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Solution

The fourth proportional to 5,736.18, 7,902.30 and 5,391.66 is: 7,427.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,736.18 : 7,902.30 = 5,391.66 : x
  2. Step 2: Convert to fraction form
    5,736.18/7,902.30 = 5,391.66/x
  3. Step 3: Cross multiply
    5,736.18x = 7,902.30 × 5,391.66
  4. Step 4: Simplify right side
    5,736.18x = 42,606,514.82
  5. Step 5: Solve for x
    x = 42,606,514.82/5,736.18
  6. Step 6: Final answer
    x = 7,427.68

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1.5x scale

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.