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Finding the Fourth Proportional to 5,680.98, 7,837.20 and 3,322.08

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Solution

The fourth proportional to 5,680.98, 7,837.20 and 3,322.08 is: 4,582.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,680.98 : 7,837.20 = 3,322.08 : x
  2. Step 2: Convert to fraction form
    5,680.98/7,837.20 = 3,322.08/x
  3. Step 3: Cross multiply
    5,680.98x = 7,837.20 × 3,322.08
  4. Step 4: Simplify right side
    5,680.98x = 26,035,805.38
  5. Step 5: Solve for x
    x = 26,035,805.38/5,680.98
  6. Step 6: Final answer
    x = 4,582.98

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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.