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Finding the Fourth Proportional to 3,570.98, 5,355.61 and 1,378.31

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Solution

The fourth proportional to 3,570.98, 5,355.61 and 1,378.31 is: 2,067.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,570.98 : 5,355.61 = 1,378.31 : x
  2. Step 2: Convert to fraction form
    3,570.98/5,355.61 = 1,378.31/x
  3. Step 3: Cross multiply
    3,570.98x = 5,355.61 × 1,378.31
  4. Step 4: Simplify right side
    3,570.98x = 7,381,683.93
  5. Step 5: Solve for x
    x = 7,381,683.93/3,570.98
  6. Step 6: Final answer
    x = 2,067.13

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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.