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Finding the Fourth Proportional to 3,533.34, 5,295.06 and 2,348.78

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Solution

The fourth proportional to 3,533.34, 5,295.06 and 2,348.78 is: 3,519.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,533.34 : 5,295.06 = 2,348.78 : x
  2. Step 2: Convert to fraction form
    3,533.34/5,295.06 = 2,348.78/x
  3. Step 3: Cross multiply
    3,533.34x = 5,295.06 × 2,348.78
  4. Step 4: Simplify right side
    3,533.34x = 12,436,904.55
  5. Step 5: Solve for x
    x = 12,436,904.55/3,533.34
  6. Step 6: Final answer
    x = 3,519.87

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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.