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Finding the Fourth Proportional to 4,385.69, 6,578.31 and 1,098.59

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Solution

The fourth proportional to 4,385.69, 6,578.31 and 1,098.59 is: 1,647.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,385.69 : 6,578.31 = 1,098.59 : x
  2. Step 2: Convert to fraction form
    4,385.69/6,578.31 = 1,098.59/x
  3. Step 3: Cross multiply
    4,385.69x = 6,578.31 × 1,098.59
  4. Step 4: Simplify right side
    4,385.69x = 7,226,865.58
  5. Step 5: Solve for x
    x = 7,226,865.58/4,385.69
  6. Step 6: Final answer
    x = 1,647.83

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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.