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Finding the Fourth Proportional to 5,700.87, 7,866.26 and 3,809.42

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Solution

The fourth proportional to 5,700.87, 7,866.26 and 3,809.42 is: 5,256.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700.87 : 7,866.26 = 3,809.42 : x
  2. Step 2: Convert to fraction form
    5,700.87/7,866.26 = 3,809.42/x
  3. Step 3: Cross multiply
    5,700.87x = 7,866.26 × 3,809.42
  4. Step 4: Simplify right side
    5,700.87x = 29,965,829.79
  5. Step 5: Solve for x
    x = 29,965,829.79/5,700.87
  6. Step 6: Final answer
    x = 5,256.36

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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.