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Finding the Fourth Proportional to 6,399.52, 9,595.08 and 3,069.52

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Solution

The fourth proportional to 6,399.52, 9,595.08 and 3,069.52 is: 4,602.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,399.52 : 9,595.08 = 3,069.52 : x
  2. Step 2: Convert to fraction form
    6,399.52/9,595.08 = 3,069.52/x
  3. Step 3: Cross multiply
    6,399.52x = 9,595.08 × 3,069.52
  4. Step 4: Simplify right side
    6,399.52x = 29,452,289.96
  5. Step 5: Solve for x
    x = 29,452,289.96/6,399.52
  6. Step 6: Final answer
    x = 4,602.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.