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Finding the Fourth Proportional to 5,783.16, 7,982.72 and 3,514.49

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Solution

The fourth proportional to 5,783.16, 7,982.72 and 3,514.49 is: 4,851.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,783.16 : 7,982.72 = 3,514.49 : x
  2. Step 2: Convert to fraction form
    5,783.16/7,982.72 = 3,514.49/x
  3. Step 3: Cross multiply
    5,783.16x = 7,982.72 × 3,514.49
  4. Step 4: Simplify right side
    5,783.16x = 28,055,207.91
  5. Step 5: Solve for x
    x = 28,055,207.91/5,783.16
  6. Step 6: Final answer
    x = 4,851.19

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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.