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Finding the Fourth Proportional to 3,530.96, 5,296.65 and 1,066.03

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Solution

The fourth proportional to 3,530.96, 5,296.65 and 1,066.03 is: 1,599.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,530.96 : 5,296.65 = 1,066.03 : x
  2. Step 2: Convert to fraction form
    3,530.96/5,296.65 = 1,066.03/x
  3. Step 3: Cross multiply
    3,530.96x = 5,296.65 × 1,066.03
  4. Step 4: Simplify right side
    3,530.96x = 5,646,390.42
  5. Step 5: Solve for x
    x = 5,646,390.42/3,530.96
  6. Step 6: Final answer
    x = 1,599.11

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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.