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Finding the Fourth Proportional to 4,233.84, 6,346.92 and 2,406

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Solution

The fourth proportional to 4,233.84, 6,346.92 and 2,406 is: 3,606.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,233.84 : 6,346.92 = 2,406 : x
  2. Step 2: Convert to fraction form
    4,233.84/6,346.92 = 2,406/x
  3. Step 3: Cross multiply
    4,233.84x = 6,346.92 × 2,406
  4. Step 4: Simplify right side
    4,233.84x = 15,270,689.52
  5. Step 5: Solve for x
    x = 15,270,689.52/4,233.84
  6. Step 6: Final answer
    x = 3,606.82

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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.