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Finding the Fourth Proportional to 4,369, 6,034.08 and 2,969.32

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Solution

The fourth proportional to 4,369, 6,034.08 and 2,969.32 is: 4,100.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,369 : 6,034.08 = 2,969.32 : x
  2. Step 2: Convert to fraction form
    4,369/6,034.08 = 2,969.32/x
  3. Step 3: Cross multiply
    4,369x = 6,034.08 × 2,969.32
  4. Step 4: Simplify right side
    4,369x = 17,917,114.43
  5. Step 5: Solve for x
    x = 17,917,114.43/4,369
  6. Step 6: Final answer
    x = 4,100.96

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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.