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Finding the Fourth Proportional to 5,704.77, 7,876.29 and 5,106.22

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Solution

The fourth proportional to 5,704.77, 7,876.29 and 5,106.22 is: 7,049.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,704.77 : 7,876.29 = 5,106.22 : x
  2. Step 2: Convert to fraction form
    5,704.77/7,876.29 = 5,106.22/x
  3. Step 3: Cross multiply
    5,704.77x = 7,876.29 × 5,106.22
  4. Step 4: Simplify right side
    5,704.77x = 40,218,069.52
  5. Step 5: Solve for x
    x = 40,218,069.52/5,704.77
  6. Step 6: Final answer
    x = 7,049.90

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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.