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Finding the Fourth Proportional to 4,864.64, 7,293.60 and 3,216.22

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Solution

The fourth proportional to 4,864.64, 7,293.60 and 3,216.22 is: 4,822.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,864.64 : 7,293.60 = 3,216.22 : x
  2. Step 2: Convert to fraction form
    4,864.64/7,293.60 = 3,216.22/x
  3. Step 3: Cross multiply
    4,864.64x = 7,293.60 × 3,216.22
  4. Step 4: Simplify right side
    4,864.64x = 23,457,785.72
  5. Step 5: Solve for x
    x = 23,457,785.72/4,864.64
  6. Step 6: Final answer
    x = 4,822.10

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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.