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Finding the Fourth Proportional to 5,357.84, 7,392.94 and 3,366.99

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Solution

The fourth proportional to 5,357.84, 7,392.94 and 3,366.99 is: 4,645.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,357.84 : 7,392.94 = 3,366.99 : x
  2. Step 2: Convert to fraction form
    5,357.84/7,392.94 = 3,366.99/x
  3. Step 3: Cross multiply
    5,357.84x = 7,392.94 × 3,366.99
  4. Step 4: Simplify right side
    5,357.84x = 24,891,901.25
  5. Step 5: Solve for x
    x = 24,891,901.25/5,357.84
  6. Step 6: Final answer
    x = 4,645.88

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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.