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Finding the Fourth Proportional to 4,193.40, 6,282.90 and 2,216.10

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Solution

The fourth proportional to 4,193.40, 6,282.90 and 2,216.10 is: 3,320.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,193.40 : 6,282.90 = 2,216.10 : x
  2. Step 2: Convert to fraction form
    4,193.40/6,282.90 = 2,216.10/x
  3. Step 3: Cross multiply
    4,193.40x = 6,282.90 × 2,216.10
  4. Step 4: Simplify right side
    4,193.40x = 13,923,534.69
  5. Step 5: Solve for x
    x = 13,923,534.69/4,193.40
  6. Step 6: Final answer
    x = 3,320.34

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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.