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Finding the Fourth Proportional to 4,640.13, 6,959.88 and 2,175.50

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Solution

The fourth proportional to 4,640.13, 6,959.88 and 2,175.50 is: 3,263.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.13 : 6,959.88 = 2,175.50 : x
  2. Step 2: Convert to fraction form
    4,640.13/6,959.88 = 2,175.50/x
  3. Step 3: Cross multiply
    4,640.13x = 6,959.88 × 2,175.50
  4. Step 4: Simplify right side
    4,640.13x = 15,141,218.94
  5. Step 5: Solve for x
    x = 15,141,218.94/4,640.13
  6. Step 6: Final answer
    x = 3,263.10

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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.