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Finding the Fourth Proportional to 4,718.64, 6,506.16 and 3,227.28

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Solution

The fourth proportional to 4,718.64, 6,506.16 and 3,227.28 is: 4,449.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,718.64 : 6,506.16 = 3,227.28 : x
  2. Step 2: Convert to fraction form
    4,718.64/6,506.16 = 3,227.28/x
  3. Step 3: Cross multiply
    4,718.64x = 6,506.16 × 3,227.28
  4. Step 4: Simplify right side
    4,718.64x = 20,997,200.04
  5. Step 5: Solve for x
    x = 20,997,200.04/4,718.64
  6. Step 6: Final answer
    x = 4,449.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.