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Finding the Fourth Proportional to 3,356.05, 5,035.88 and 1,972.09

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Solution

The fourth proportional to 3,356.05, 5,035.88 and 1,972.09 is: 2,959.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,356.05 : 5,035.88 = 1,972.09 : x
  2. Step 2: Convert to fraction form
    3,356.05/5,035.88 = 1,972.09/x
  3. Step 3: Cross multiply
    3,356.05x = 5,035.88 × 1,972.09
  4. Step 4: Simplify right side
    3,356.05x = 9,931,200.93
  5. Step 5: Solve for x
    x = 9,931,200.93/3,356.05
  6. Step 6: Final answer
    x = 2,959.20

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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.