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Finding the Fourth Proportional to 5,578.61, 7,698.78 and 3,221.51

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Solution

The fourth proportional to 5,578.61, 7,698.78 and 3,221.51 is: 4,445.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,578.61 : 7,698.78 = 3,221.51 : x
  2. Step 2: Convert to fraction form
    5,578.61/7,698.78 = 3,221.51/x
  3. Step 3: Cross multiply
    5,578.61x = 7,698.78 × 3,221.51
  4. Step 4: Simplify right side
    5,578.61x = 24,801,696.76
  5. Step 5: Solve for x
    x = 24,801,696.76/5,578.61
  6. Step 6: Final answer
    x = 4,445.86

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