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Finding the Fourth Proportional to 5,530.30, 8,294.19 and 1,633.78

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Solution

The fourth proportional to 5,530.30, 8,294.19 and 1,633.78 is: 2,450.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,530.30 : 8,294.19 = 1,633.78 : x
  2. Step 2: Convert to fraction form
    5,530.30/8,294.19 = 1,633.78/x
  3. Step 3: Cross multiply
    5,530.30x = 8,294.19 × 1,633.78
  4. Step 4: Simplify right side
    5,530.30x = 13,550,881.74
  5. Step 5: Solve for x
    x = 13,550,881.74/5,530.30
  6. Step 6: Final answer
    x = 2,450.30

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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.