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Finding the Fourth Proportional to 5,964.16, 8,226.48 and 3,480.16

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Solution

The fourth proportional to 5,964.16, 8,226.48 and 3,480.16 is: 4,800.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,964.16 : 8,226.48 = 3,480.16 : x
  2. Step 2: Convert to fraction form
    5,964.16/8,226.48 = 3,480.16/x
  3. Step 3: Cross multiply
    5,964.16x = 8,226.48 × 3,480.16
  4. Step 4: Simplify right side
    5,964.16x = 28,629,466.64
  5. Step 5: Solve for x
    x = 28,629,466.64/5,964.16
  6. Step 6: Final answer
    x = 4,800.25

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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.