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Finding the Fourth Proportional to 4,061, 6,091.80 and 2,972.24

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Solution

The fourth proportional to 4,061, 6,091.80 and 2,972.24 is: 4,458.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,061 : 6,091.80 = 2,972.24 : x
  2. Step 2: Convert to fraction form
    4,061/6,091.80 = 2,972.24/x
  3. Step 3: Cross multiply
    4,061x = 6,091.80 × 2,972.24
  4. Step 4: Simplify right side
    4,061x = 18,106,291.63
  5. Step 5: Solve for x
    x = 18,106,291.63/4,061
  6. Step 6: Final answer
    x = 4,458.58

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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.