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Finding the Fourth Proportional to 4,464.92, 6,707.92 and 4,216.26

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Solution

The fourth proportional to 4,464.92, 6,707.92 and 4,216.26 is: 6,334.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,464.92 : 6,707.92 = 4,216.26 : x
  2. Step 2: Convert to fraction form
    4,464.92/6,707.92 = 4,216.26/x
  3. Step 3: Cross multiply
    4,464.92x = 6,707.92 × 4,216.26
  4. Step 4: Simplify right side
    4,464.92x = 28,282,334.78
  5. Step 5: Solve for x
    x = 28,282,334.78/4,464.92
  6. Step 6: Final answer
    x = 6,334.34

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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.