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Finding the Fourth Proportional to 5,583.78, 8,374.91 and 3,089.58

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Solution

The fourth proportional to 5,583.78, 8,374.91 and 3,089.58 is: 4,633.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,583.78 : 8,374.91 = 3,089.58 : x
  2. Step 2: Convert to fraction form
    5,583.78/8,374.91 = 3,089.58/x
  3. Step 3: Cross multiply
    5,583.78x = 8,374.91 × 3,089.58
  4. Step 4: Simplify right side
    5,583.78x = 25,874,938.99
  5. Step 5: Solve for x
    x = 25,874,938.99/5,583.78
  6. Step 6: Final answer
    x = 4,633.95

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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.