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Finding the Fourth Proportional to 5,578.65, 8,371.35 and 2,071.22

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Solution

The fourth proportional to 5,578.65, 8,371.35 and 2,071.22 is: 3,108.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,578.65 : 8,371.35 = 2,071.22 : x
  2. Step 2: Convert to fraction form
    5,578.65/8,371.35 = 2,071.22/x
  3. Step 3: Cross multiply
    5,578.65x = 8,371.35 × 2,071.22
  4. Step 4: Simplify right side
    5,578.65x = 17,338,865.69
  5. Step 5: Solve for x
    x = 17,338,865.69/5,578.65
  6. Step 6: Final answer
    x = 3,108.08

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