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Finding the Fourth Proportional to 3,578.80, 5,339.48 and 3,184.11

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Solution

The fourth proportional to 3,578.80, 5,339.48 and 3,184.11 is: 4,750.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.80 : 5,339.48 = 3,184.11 : x
  2. Step 2: Convert to fraction form
    3,578.80/5,339.48 = 3,184.11/x
  3. Step 3: Cross multiply
    3,578.80x = 5,339.48 × 3,184.11
  4. Step 4: Simplify right side
    3,578.80x = 17,001,491.66
  5. Step 5: Solve for x
    x = 17,001,491.66/3,578.80
  6. Step 6: Final answer
    x = 4,750.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.