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Finding the Fourth Proportional to 4,295.20, 6,441.20 and 1,216.16

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Solution

The fourth proportional to 4,295.20, 6,441.20 and 1,216.16 is: 1,823.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,295.20 : 6,441.20 = 1,216.16 : x
  2. Step 2: Convert to fraction form
    4,295.20/6,441.20 = 1,216.16/x
  3. Step 3: Cross multiply
    4,295.20x = 6,441.20 × 1,216.16
  4. Step 4: Simplify right side
    4,295.20x = 7,833,529.79
  5. Step 5: Solve for x
    x = 7,833,529.79/4,295.20
  6. Step 6: Final answer
    x = 1,823.79

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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.