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Finding the Fourth Proportional to 5,464.16, 8,207.04 and 3,277.20

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Solution

The fourth proportional to 5,464.16, 8,207.04 and 3,277.20 is: 4,922.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,464.16 : 8,207.04 = 3,277.20 : x
  2. Step 2: Convert to fraction form
    5,464.16/8,207.04 = 3,277.20/x
  3. Step 3: Cross multiply
    5,464.16x = 8,207.04 × 3,277.20
  4. Step 4: Simplify right side
    5,464.16x = 26,896,111.49
  5. Step 5: Solve for x
    x = 26,896,111.49/5,464.16
  6. Step 6: Final answer
    x = 4,922.28

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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.