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Finding the Fourth Proportional to 5,839.49, 8,717.65 and 5,634.46

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Solution

The fourth proportional to 5,839.49, 8,717.65 and 5,634.46 is: 8,411.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,839.49 : 8,717.65 = 5,634.46 : x
  2. Step 2: Convert to fraction form
    5,839.49/8,717.65 = 5,634.46/x
  3. Step 3: Cross multiply
    5,839.49x = 8,717.65 × 5,634.46
  4. Step 4: Simplify right side
    5,839.49x = 49,119,262.88
  5. Step 5: Solve for x
    x = 49,119,262.88/5,839.49
  6. Step 6: Final answer
    x = 8,411.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.