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Finding the Fourth Proportional to 4,846.43, 6,688.22 and 3,432.65

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Solution

The fourth proportional to 4,846.43, 6,688.22 and 3,432.65 is: 4,737.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,846.43 : 6,688.22 = 3,432.65 : x
  2. Step 2: Convert to fraction form
    4,846.43/6,688.22 = 3,432.65/x
  3. Step 3: Cross multiply
    4,846.43x = 6,688.22 × 3,432.65
  4. Step 4: Simplify right side
    4,846.43x = 22,958,267.78
  5. Step 5: Solve for x
    x = 22,958,267.78/4,846.43
  6. Step 6: Final answer
    x = 4,737.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.