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Finding the Fourth Proportional to 4,205.92, 5,762.13 and 4,048.27

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Solution

The fourth proportional to 4,205.92, 5,762.13 and 4,048.27 is: 5,546.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205.92 : 5,762.13 = 4,048.27 : x
  2. Step 2: Convert to fraction form
    4,205.92/5,762.13 = 4,048.27/x
  3. Step 3: Cross multiply
    4,205.92x = 5,762.13 × 4,048.27
  4. Step 4: Simplify right side
    4,205.92x = 23,326,658.02
  5. Step 5: Solve for x
    x = 23,326,658.02/4,205.92
  6. Step 6: Final answer
    x = 5,546.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.