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Finding the Fourth Proportional to 4,872.40, 7,309.40 and 2,682.16

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Solution

The fourth proportional to 4,872.40, 7,309.40 and 2,682.16 is: 4,023.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,872.40 : 7,309.40 = 2,682.16 : x
  2. Step 2: Convert to fraction form
    4,872.40/7,309.40 = 2,682.16/x
  3. Step 3: Cross multiply
    4,872.40x = 7,309.40 × 2,682.16
  4. Step 4: Simplify right side
    4,872.40x = 19,604,980.30
  5. Step 5: Solve for x
    x = 19,604,980.30/4,872.40
  6. Step 6: Final answer
    x = 4,023.68

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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.