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Finding the Fourth Proportional to 3,503.34, 5,251.45 and 2,271.53

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Solution

The fourth proportional to 3,503.34, 5,251.45 and 2,271.53 is: 3,404.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,503.34 : 5,251.45 = 2,271.53 : x
  2. Step 2: Convert to fraction form
    3,503.34/5,251.45 = 2,271.53/x
  3. Step 3: Cross multiply
    3,503.34x = 5,251.45 × 2,271.53
  4. Step 4: Simplify right side
    3,503.34x = 11,928,826.22
  5. Step 5: Solve for x
    x = 11,928,826.22/3,503.34
  6. Step 6: Final answer
    x = 3,404.99

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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.