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Finding the Fourth Proportional to 5,221.80, 7,832.70 and 1,326.06

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Solution

The fourth proportional to 5,221.80, 7,832.70 and 1,326.06 is: 1,989.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,221.80 : 7,832.70 = 1,326.06 : x
  2. Step 2: Convert to fraction form
    5,221.80/7,832.70 = 1,326.06/x
  3. Step 3: Cross multiply
    5,221.80x = 7,832.70 × 1,326.06
  4. Step 4: Simplify right side
    5,221.80x = 10,386,630.16
  5. Step 5: Solve for x
    x = 10,386,630.16/5,221.80
  6. Step 6: Final answer
    x = 1,989.09

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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.