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Finding the Fourth Proportional to 6,046.26, 9,080.22 and 3,970.50

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Solution

The fourth proportional to 6,046.26, 9,080.22 and 3,970.50 is: 5,962.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,046.26 : 9,080.22 = 3,970.50 : x
  2. Step 2: Convert to fraction form
    6,046.26/9,080.22 = 3,970.50/x
  3. Step 3: Cross multiply
    6,046.26x = 9,080.22 × 3,970.50
  4. Step 4: Simplify right side
    6,046.26x = 36,053,013.51
  5. Step 5: Solve for x
    x = 36,053,013.51/6,046.26
  6. Step 6: Final answer
    x = 5,962.86

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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.