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Finding the Fourth Proportional to 5,697.38, 7,863.06 and 3,459.84

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Solution

The fourth proportional to 5,697.38, 7,863.06 and 3,459.84 is: 4,774.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,697.38 : 7,863.06 = 3,459.84 : x
  2. Step 2: Convert to fraction form
    5,697.38/7,863.06 = 3,459.84/x
  3. Step 3: Cross multiply
    5,697.38x = 7,863.06 × 3,459.84
  4. Step 4: Simplify right side
    5,697.38x = 27,204,929.51
  5. Step 5: Solve for x
    x = 27,204,929.51/5,697.38
  6. Step 6: Final answer
    x = 4,774.99

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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.