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Finding the Fourth Proportional to 4,170.84, 6,256.23 and 1,092.84

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Solution

The fourth proportional to 4,170.84, 6,256.23 and 1,092.84 is: 1,639.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,170.84 : 6,256.23 = 1,092.84 : x
  2. Step 2: Convert to fraction form
    4,170.84/6,256.23 = 1,092.84/x
  3. Step 3: Cross multiply
    4,170.84x = 6,256.23 × 1,092.84
  4. Step 4: Simplify right side
    4,170.84x = 6,837,058.39
  5. Step 5: Solve for x
    x = 6,837,058.39/4,170.84
  6. Step 6: Final answer
    x = 1,639.25

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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.