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Finding the Fourth Proportional to 5,356.74, 7,392.12 and 2,934

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Solution

The fourth proportional to 5,356.74, 7,392.12 and 2,934 is: 4,048.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,356.74 : 7,392.12 = 2,934 : x
  2. Step 2: Convert to fraction form
    5,356.74/7,392.12 = 2,934/x
  3. Step 3: Cross multiply
    5,356.74x = 7,392.12 × 2,934
  4. Step 4: Simplify right side
    5,356.74x = 21,688,480.08
  5. Step 5: Solve for x
    x = 21,688,480.08/5,356.74
  6. Step 6: Final answer
    x = 4,048.82

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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.