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Finding the Fourth Proportional to 5,797.24, 8,005.87 and 4,009.30

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Solution

The fourth proportional to 5,797.24, 8,005.87 and 4,009.30 is: 5,536.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797.24 : 8,005.87 = 4,009.30 : x
  2. Step 2: Convert to fraction form
    5,797.24/8,005.87 = 4,009.30/x
  3. Step 3: Cross multiply
    5,797.24x = 8,005.87 × 4,009.30
  4. Step 4: Simplify right side
    5,797.24x = 32,097,919.59
  5. Step 5: Solve for x
    x = 32,097,919.59/5,797.24
  6. Step 6: Final answer
    x = 5,536.76

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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.