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Finding the Fourth Proportional to 5,356.34, 7,392.17 and 3,946.46

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Solution

The fourth proportional to 5,356.34, 7,392.17 and 3,946.46 is: 5,446.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,356.34 : 7,392.17 = 3,946.46 : x
  2. Step 2: Convert to fraction form
    5,356.34/7,392.17 = 3,946.46/x
  3. Step 3: Cross multiply
    5,356.34x = 7,392.17 × 3,946.46
  4. Step 4: Simplify right side
    5,356.34x = 29,172,935.87
  5. Step 5: Solve for x
    x = 29,172,935.87/5,356.34
  6. Step 6: Final answer
    x = 5,446.43

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1.5x scale

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.