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Finding the Fourth Proportional to 5,638.08, 7,782.95 and 3,514.68

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Solution

The fourth proportional to 5,638.08, 7,782.95 and 3,514.68 is: 4,851.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.08 : 7,782.95 = 3,514.68 : x
  2. Step 2: Convert to fraction form
    5,638.08/7,782.95 = 3,514.68/x
  3. Step 3: Cross multiply
    5,638.08x = 7,782.95 × 3,514.68
  4. Step 4: Simplify right side
    5,638.08x = 27,354,587.49
  5. Step 5: Solve for x
    x = 27,354,587.49/5,638.08
  6. Step 6: Final answer
    x = 4,851.76

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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.