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Finding the Fourth Proportional to 6,400.20, 9,599.58 and 4,759.20

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Solution

The fourth proportional to 6,400.20, 9,599.58 and 4,759.20 is: 7,138.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.20 : 9,599.58 = 4,759.20 : x
  2. Step 2: Convert to fraction form
    6,400.20/9,599.58 = 4,759.20/x
  3. Step 3: Cross multiply
    6,400.20x = 9,599.58 × 4,759.20
  4. Step 4: Simplify right side
    6,400.20x = 45,686,321.14
  5. Step 5: Solve for x
    x = 45,686,321.14/6,400.20
  6. Step 6: Final answer
    x = 7,138.26

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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.