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Finding the Fourth Proportional to 4,834.20, 6,672.78 and 4,411.32

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Solution

The fourth proportional to 4,834.20, 6,672.78 and 4,411.32 is: 6,089.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,834.20 : 6,672.78 = 4,411.32 : x
  2. Step 2: Convert to fraction form
    4,834.20/6,672.78 = 4,411.32/x
  3. Step 3: Cross multiply
    4,834.20x = 6,672.78 × 4,411.32
  4. Step 4: Simplify right side
    4,834.20x = 29,435,767.87
  5. Step 5: Solve for x
    x = 29,435,767.87/4,834.20
  6. Step 6: Final answer
    x = 6,089.07

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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.