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Finding the Fourth Proportional to 4,462.84, 6,689.34 and 2,820.12

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Solution

The fourth proportional to 4,462.84, 6,689.34 and 2,820.12 is: 4,227.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,462.84 : 6,689.34 = 2,820.12 : x
  2. Step 2: Convert to fraction form
    4,462.84/6,689.34 = 2,820.12/x
  3. Step 3: Cross multiply
    4,462.84x = 6,689.34 × 2,820.12
  4. Step 4: Simplify right side
    4,462.84x = 18,864,741.52
  5. Step 5: Solve for x
    x = 18,864,741.52/4,462.84
  6. Step 6: Final answer
    x = 4,227.07

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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.