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Finding the Fourth Proportional to 4,398.22, 6,596.61 and 1,319.50

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Solution

The fourth proportional to 4,398.22, 6,596.61 and 1,319.50 is: 1,979.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,398.22 : 6,596.61 = 1,319.50 : x
  2. Step 2: Convert to fraction form
    4,398.22/6,596.61 = 1,319.50/x
  3. Step 3: Cross multiply
    4,398.22x = 6,596.61 × 1,319.50
  4. Step 4: Simplify right side
    4,398.22x = 8,704,226.90
  5. Step 5: Solve for x
    x = 8,704,226.90/4,398.22
  6. Step 6: Final answer
    x = 1,979.03

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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.