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Finding the Fourth Proportional to 5,618.38, 7,753.16 and 3,260.20

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Solution

The fourth proportional to 5,618.38, 7,753.16 and 3,260.20 is: 4,498.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,618.38 : 7,753.16 = 3,260.20 : x
  2. Step 2: Convert to fraction form
    5,618.38/7,753.16 = 3,260.20/x
  3. Step 3: Cross multiply
    5,618.38x = 7,753.16 × 3,260.20
  4. Step 4: Simplify right side
    5,618.38x = 25,276,852.23
  5. Step 5: Solve for x
    x = 25,276,852.23/5,618.38
  6. Step 6: Final answer
    x = 4,498.96

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Why These Related Problems?

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