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Finding the Fourth Proportional to 3,564.59, 5,348.25 and 2,511.41

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Solution

The fourth proportional to 3,564.59, 5,348.25 and 2,511.41 is: 3,768.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.59 : 5,348.25 = 2,511.41 : x
  2. Step 2: Convert to fraction form
    3,564.59/5,348.25 = 2,511.41/x
  3. Step 3: Cross multiply
    3,564.59x = 5,348.25 × 2,511.41
  4. Step 4: Simplify right side
    3,564.59x = 13,431,648.53
  5. Step 5: Solve for x
    x = 13,431,648.53/3,564.59
  6. Step 6: Final answer
    x = 3,768.08

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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.