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Finding the Fourth Proportional to 4,313.20, 6,455.22 and 3,584.20

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Solution

The fourth proportional to 4,313.20, 6,455.22 and 3,584.20 is: 5,364.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,313.20 : 6,455.22 = 3,584.20 : x
  2. Step 2: Convert to fraction form
    4,313.20/6,455.22 = 3,584.20/x
  3. Step 3: Cross multiply
    4,313.20x = 6,455.22 × 3,584.20
  4. Step 4: Simplify right side
    4,313.20x = 23,136,799.52
  5. Step 5: Solve for x
    x = 23,136,799.52/4,313.20
  6. Step 6: Final answer
    x = 5,364.18

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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.