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Finding the Fourth Proportional to 3,782.14, 5,671.78 and 1,702.06

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Solution

The fourth proportional to 3,782.14, 5,671.78 and 1,702.06 is: 2,552.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.14 : 5,671.78 = 1,702.06 : x
  2. Step 2: Convert to fraction form
    3,782.14/5,671.78 = 1,702.06/x
  3. Step 3: Cross multiply
    3,782.14x = 5,671.78 × 1,702.06
  4. Step 4: Simplify right side
    3,782.14x = 9,653,709.87
  5. Step 5: Solve for x
    x = 9,653,709.87/3,782.14
  6. Step 6: Final answer
    x = 2,552.45

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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.