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Finding the Fourth Proportional to 5,682.48, 8,512.38 and 4,514.46

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Solution

The fourth proportional to 5,682.48, 8,512.38 and 4,514.46 is: 6,762.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.48 : 8,512.38 = 4,514.46 : x
  2. Step 2: Convert to fraction form
    5,682.48/8,512.38 = 4,514.46/x
  3. Step 3: Cross multiply
    5,682.48x = 8,512.38 × 4,514.46
  4. Step 4: Simplify right side
    5,682.48x = 38,428,799.01
  5. Step 5: Solve for x
    x = 38,428,799.01/5,682.48
  6. Step 6: Final answer
    x = 6,762.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.