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Finding the Fourth Proportional to 4,643.38, 6,962.91 and 2,696.14

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Solution

The fourth proportional to 4,643.38, 6,962.91 and 2,696.14 is: 4,042.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.38 : 6,962.91 = 2,696.14 : x
  2. Step 2: Convert to fraction form
    4,643.38/6,962.91 = 2,696.14/x
  3. Step 3: Cross multiply
    4,643.38x = 6,962.91 × 2,696.14
  4. Step 4: Simplify right side
    4,643.38x = 18,772,980.17
  5. Step 5: Solve for x
    x = 18,772,980.17/4,643.38
  6. Step 6: Final answer
    x = 4,042.96

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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.