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Finding the Fourth Proportional to 5,699.76, 7,866.09 and 3,462.27

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Solution

The fourth proportional to 5,699.76, 7,866.09 and 3,462.27 is: 4,778.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,699.76 : 7,866.09 = 3,462.27 : x
  2. Step 2: Convert to fraction form
    5,699.76/7,866.09 = 3,462.27/x
  3. Step 3: Cross multiply
    5,699.76x = 7,866.09 × 3,462.27
  4. Step 4: Simplify right side
    5,699.76x = 27,234,527.42
  5. Step 5: Solve for x
    x = 27,234,527.42/5,699.76
  6. Step 6: Final answer
    x = 4,778.19

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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.