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Finding the Fourth Proportional to 4,170.08, 6,255.36 and 1,092

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Solution

The fourth proportional to 4,170.08, 6,255.36 and 1,092 is: 1,638.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,170.08 : 6,255.36 = 1,092 : x
  2. Step 2: Convert to fraction form
    4,170.08/6,255.36 = 1,092/x
  3. Step 3: Cross multiply
    4,170.08x = 6,255.36 × 1,092
  4. Step 4: Simplify right side
    4,170.08x = 6,830,853.12
  5. Step 5: Solve for x
    x = 6,830,853.12/4,170.08
  6. Step 6: Final answer
    x = 1,638.06

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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.