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Finding the Fourth Proportional to 5,313.27, 7,315.62 and 4,514.91

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Solution

The fourth proportional to 5,313.27, 7,315.62 and 4,514.91 is: 6,216.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,313.27 : 7,315.62 = 4,514.91 : x
  2. Step 2: Convert to fraction form
    5,313.27/7,315.62 = 4,514.91/x
  3. Step 3: Cross multiply
    5,313.27x = 7,315.62 × 4,514.91
  4. Step 4: Simplify right side
    5,313.27x = 33,029,365.89
  5. Step 5: Solve for x
    x = 33,029,365.89/5,313.27
  6. Step 6: Final answer
    x = 6,216.39

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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.