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Finding the Fourth Proportional to 4,751.97, 6,555.84 and 2,982.93

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Solution

The fourth proportional to 4,751.97, 6,555.84 and 2,982.93 is: 4,115.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,751.97 : 6,555.84 = 2,982.93 : x
  2. Step 2: Convert to fraction form
    4,751.97/6,555.84 = 2,982.93/x
  3. Step 3: Cross multiply
    4,751.97x = 6,555.84 × 2,982.93
  4. Step 4: Simplify right side
    4,751.97x = 19,555,611.81
  5. Step 5: Solve for x
    x = 19,555,611.81/4,751.97
  6. Step 6: Final answer
    x = 4,115.26

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Why These Related Problems?

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