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Finding the Fourth Proportional to 4,766.61, 7,130.46 and 3,843.21

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Solution

The fourth proportional to 4,766.61, 7,130.46 and 3,843.21 is: 5,749.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766.61 : 7,130.46 = 3,843.21 : x
  2. Step 2: Convert to fraction form
    4,766.61/7,130.46 = 3,843.21/x
  3. Step 3: Cross multiply
    4,766.61x = 7,130.46 × 3,843.21
  4. Step 4: Simplify right side
    4,766.61x = 27,403,855.18
  5. Step 5: Solve for x
    x = 27,403,855.18/4,766.61
  6. Step 6: Final answer
    x = 5,749.13

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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.