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Finding the Fourth Proportional to 4,143.60, 6,214.43 and 2,658.33

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Solution

The fourth proportional to 4,143.60, 6,214.43 and 2,658.33 is: 3,986.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,143.60 : 6,214.43 = 2,658.33 : x
  2. Step 2: Convert to fraction form
    4,143.60/6,214.43 = 2,658.33/x
  3. Step 3: Cross multiply
    4,143.60x = 6,214.43 × 2,658.33
  4. Step 4: Simplify right side
    4,143.60x = 16,520,005.70
  5. Step 5: Solve for x
    x = 16,520,005.70/4,143.60
  6. Step 6: Final answer
    x = 3,986.87

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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.