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Finding the Fourth Proportional to 4,196.93, 6,294.27 and 2,001.29

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Solution

The fourth proportional to 4,196.93, 6,294.27 and 2,001.29 is: 3,001.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196.93 : 6,294.27 = 2,001.29 : x
  2. Step 2: Convert to fraction form
    4,196.93/6,294.27 = 2,001.29/x
  3. Step 3: Cross multiply
    4,196.93x = 6,294.27 × 2,001.29
  4. Step 4: Simplify right side
    4,196.93x = 12,596,659.61
  5. Step 5: Solve for x
    x = 12,596,659.61/4,196.93
  6. Step 6: Final answer
    x = 3,001.40

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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.