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Finding the Fourth Proportional to 6,578.91, 9,868.35 and 3,459.69

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Solution

The fourth proportional to 6,578.91, 9,868.35 and 3,459.69 is: 5,189.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578.91 : 9,868.35 = 3,459.69 : x
  2. Step 2: Convert to fraction form
    6,578.91/9,868.35 = 3,459.69/x
  3. Step 3: Cross multiply
    6,578.91x = 9,868.35 × 3,459.69
  4. Step 4: Simplify right side
    6,578.91x = 34,141,431.81
  5. Step 5: Solve for x
    x = 34,141,431.81/6,578.91
  6. Step 6: Final answer
    x = 5,189.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.