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Finding the Fourth Proportional to 5,530.11, 8,294.01 and 1,633.60

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Solution

The fourth proportional to 5,530.11, 8,294.01 and 1,633.60 is: 2,450.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,530.11 : 8,294.01 = 1,633.60 : x
  2. Step 2: Convert to fraction form
    5,530.11/8,294.01 = 1,633.60/x
  3. Step 3: Cross multiply
    5,530.11x = 8,294.01 × 1,633.60
  4. Step 4: Simplify right side
    5,530.11x = 13,549,094.74
  5. Step 5: Solve for x
    x = 13,549,094.74/5,530.11
  6. Step 6: Final answer
    x = 2,450.06

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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.