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Finding the Fourth Proportional to 4,291.38, 6,439.23 and 1,984.50

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Solution

The fourth proportional to 4,291.38, 6,439.23 and 1,984.50 is: 2,977.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,291.38 : 6,439.23 = 1,984.50 : x
  2. Step 2: Convert to fraction form
    4,291.38/6,439.23 = 1,984.50/x
  3. Step 3: Cross multiply
    4,291.38x = 6,439.23 × 1,984.50
  4. Step 4: Simplify right side
    4,291.38x = 12,778,651.94
  5. Step 5: Solve for x
    x = 12,778,651.94/4,291.38
  6. Step 6: Final answer
    x = 2,977.75

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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.