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Finding the Fourth Proportional to 7,057.08, 9,734.36 and 4,542.46

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Solution

The fourth proportional to 7,057.08, 9,734.36 and 4,542.46 is: 6,265.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.08 : 9,734.36 = 4,542.46 : x
  2. Step 2: Convert to fraction form
    7,057.08/9,734.36 = 4,542.46/x
  3. Step 3: Cross multiply
    7,057.08x = 9,734.36 × 4,542.46
  4. Step 4: Simplify right side
    7,057.08x = 44,217,940.93
  5. Step 5: Solve for x
    x = 44,217,940.93/7,057.08
  6. Step 6: Final answer
    x = 6,265.76

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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.