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Finding the Fourth Proportional to 5,613.14, 8,421.60 and 3,530.69

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Solution

The fourth proportional to 5,613.14, 8,421.60 and 3,530.69 is: 5,297.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,613.14 : 8,421.60 = 3,530.69 : x
  2. Step 2: Convert to fraction form
    5,613.14/8,421.60 = 3,530.69/x
  3. Step 3: Cross multiply
    5,613.14x = 8,421.60 × 3,530.69
  4. Step 4: Simplify right side
    5,613.14x = 29,734,058.90
  5. Step 5: Solve for x
    x = 29,734,058.90/5,613.14
  6. Step 6: Final answer
    x = 5,297.22

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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.