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Finding the Fourth Proportional to 3,570.68, 5,348.70 and 2,105.40

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Solution

The fourth proportional to 3,570.68, 5,348.70 and 2,105.40 is: 3,153.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,570.68 : 5,348.70 = 2,105.40 : x
  2. Step 2: Convert to fraction form
    3,570.68/5,348.70 = 2,105.40/x
  3. Step 3: Cross multiply
    3,570.68x = 5,348.70 × 2,105.40
  4. Step 4: Simplify right side
    3,570.68x = 11,261,152.98
  5. Step 5: Solve for x
    x = 11,261,152.98/3,570.68
  6. Step 6: Final answer
    x = 3,153.78

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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.