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Finding the Fourth Proportional to 5,266.40, 7,885.22 and 3,412.94

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Solution

The fourth proportional to 5,266.40, 7,885.22 and 3,412.94 is: 5,110.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,266.40 : 7,885.22 = 3,412.94 : x
  2. Step 2: Convert to fraction form
    5,266.40/7,885.22 = 3,412.94/x
  3. Step 3: Cross multiply
    5,266.40x = 7,885.22 × 3,412.94
  4. Step 4: Simplify right side
    5,266.40x = 26,911,726.26
  5. Step 5: Solve for x
    x = 26,911,726.26/5,266.40
  6. Step 6: Final answer
    x = 5,110.09

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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.