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Finding the Fourth Proportional to 5,449.46, 8,152.92 and 4,786.07

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Solution

The fourth proportional to 5,449.46, 8,152.92 and 4,786.07 is: 7,160.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,449.46 : 8,152.92 = 4,786.07 : x
  2. Step 2: Convert to fraction form
    5,449.46/8,152.92 = 4,786.07/x
  3. Step 3: Cross multiply
    5,449.46x = 8,152.92 × 4,786.07
  4. Step 4: Simplify right side
    5,449.46x = 39,020,405.06
  5. Step 5: Solve for x
    x = 39,020,405.06/5,449.46
  6. Step 6: Final answer
    x = 7,160.42

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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.