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Finding the Fourth Proportional to 3,357.84, 5,034 and 2,057.76

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Solution

The fourth proportional to 3,357.84, 5,034 and 2,057.76 is: 3,084.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,357.84 : 5,034 = 2,057.76 : x
  2. Step 2: Convert to fraction form
    3,357.84/5,034 = 2,057.76/x
  3. Step 3: Cross multiply
    3,357.84x = 5,034 × 2,057.76
  4. Step 4: Simplify right side
    3,357.84x = 10,358,763.84
  5. Step 5: Solve for x
    x = 10,358,763.84/3,357.84
  6. Step 6: Final answer
    x = 3,084.95

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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.