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Finding the Fourth Proportional to 5,208.92, 7,177.92 and 3,714.20

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Solution

The fourth proportional to 5,208.92, 7,177.92 and 3,714.20 is: 5,118.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.92 : 7,177.92 = 3,714.20 : x
  2. Step 2: Convert to fraction form
    5,208.92/7,177.92 = 3,714.20/x
  3. Step 3: Cross multiply
    5,208.92x = 7,177.92 × 3,714.20
  4. Step 4: Simplify right side
    5,208.92x = 26,660,230.46
  5. Step 5: Solve for x
    x = 26,660,230.46/5,208.92
  6. Step 6: Final answer
    x = 5,118.19

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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.