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Finding the Fourth Proportional to 4,349, 6,006.58 and 2,949.32

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Solution

The fourth proportional to 4,349, 6,006.58 and 2,949.32 is: 4,073.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,349 : 6,006.58 = 2,949.32 : x
  2. Step 2: Convert to fraction form
    4,349/6,006.58 = 2,949.32/x
  3. Step 3: Cross multiply
    4,349x = 6,006.58 × 2,949.32
  4. Step 4: Simplify right side
    4,349x = 17,715,326.53
  5. Step 5: Solve for x
    x = 17,715,326.53/4,349
  6. Step 6: Final answer
    x = 4,073.43

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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.