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Finding the Fourth Proportional to 5,843.47, 8,723.58 and 5,638.43

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Solution

The fourth proportional to 5,843.47, 8,723.58 and 5,638.43 is: 8,417.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,843.47 : 8,723.58 = 5,638.43 : x
  2. Step 2: Convert to fraction form
    5,843.47/8,723.58 = 5,638.43/x
  3. Step 3: Cross multiply
    5,843.47x = 8,723.58 × 5,638.43
  4. Step 4: Simplify right side
    5,843.47x = 49,187,266.99
  5. Step 5: Solve for x
    x = 49,187,266.99/5,843.47
  6. Step 6: Final answer
    x = 8,417.48

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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.