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Finding the Fourth Proportional to 5,829.58, 8,086.02 and 5,619.42

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Solution

The fourth proportional to 5,829.58, 8,086.02 and 5,619.42 is: 7,794.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,829.58 : 8,086.02 = 5,619.42 : x
  2. Step 2: Convert to fraction form
    5,829.58/8,086.02 = 5,619.42/x
  3. Step 3: Cross multiply
    5,829.58x = 8,086.02 × 5,619.42
  4. Step 4: Simplify right side
    5,829.58x = 45,438,742.51
  5. Step 5: Solve for x
    x = 45,438,742.51/5,829.58
  6. Step 6: Final answer
    x = 7,794.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.