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Finding the Fourth Proportional to 6,032.64, 8,324.67 and 3,514.66

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Solution

The fourth proportional to 6,032.64, 8,324.67 and 3,514.66 is: 4,850.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,032.64 : 8,324.67 = 3,514.66 : x
  2. Step 2: Convert to fraction form
    6,032.64/8,324.67 = 3,514.66/x
  3. Step 3: Cross multiply
    6,032.64x = 8,324.67 × 3,514.66
  4. Step 4: Simplify right side
    6,032.64x = 29,258,329.86
  5. Step 5: Solve for x
    x = 29,258,329.86/6,032.64
  6. Step 6: Final answer
    x = 4,850.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.