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Finding the Fourth Proportional to 3,421.68, 5,132.64 and 2,266.80

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Solution

The fourth proportional to 3,421.68, 5,132.64 and 2,266.80 is: 3,400.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,421.68 : 5,132.64 = 2,266.80 : x
  2. Step 2: Convert to fraction form
    3,421.68/5,132.64 = 2,266.80/x
  3. Step 3: Cross multiply
    3,421.68x = 5,132.64 × 2,266.80
  4. Step 4: Simplify right side
    3,421.68x = 11,634,668.35
  5. Step 5: Solve for x
    x = 11,634,668.35/3,421.68
  6. Step 6: Final answer
    x = 3,400.28

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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.