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Finding the Fourth Proportional to 6,399.60, 9,595.79 and 2,649.26

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Solution

The fourth proportional to 6,399.60, 9,595.79 and 2,649.26 is: 3,972.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,399.60 : 9,595.79 = 2,649.26 : x
  2. Step 2: Convert to fraction form
    6,399.60/9,595.79 = 2,649.26/x
  3. Step 3: Cross multiply
    6,399.60x = 9,595.79 × 2,649.26
  4. Step 4: Simplify right side
    6,399.60x = 25,421,763.29
  5. Step 5: Solve for x
    x = 25,421,763.29/6,399.60
  6. Step 6: Final answer
    x = 3,972.40

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