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Finding the Fourth Proportional to 5,787.84, 8,698.77 and 4,806.96

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Solution

The fourth proportional to 5,787.84, 8,698.77 and 4,806.96 is: 7,224.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787.84 : 8,698.77 = 4,806.96 : x
  2. Step 2: Convert to fraction form
    5,787.84/8,698.77 = 4,806.96/x
  3. Step 3: Cross multiply
    5,787.84x = 8,698.77 × 4,806.96
  4. Step 4: Simplify right side
    5,787.84x = 41,814,639.44
  5. Step 5: Solve for x
    x = 41,814,639.44/5,787.84
  6. Step 6: Final answer
    x = 7,224.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.