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Finding the Fourth Proportional to 4,460.64, 6,122.72 and 3,952.16

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Solution

The fourth proportional to 4,460.64, 6,122.72 and 3,952.16 is: 5,424.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,460.64 : 6,122.72 = 3,952.16 : x
  2. Step 2: Convert to fraction form
    4,460.64/6,122.72 = 3,952.16/x
  3. Step 3: Cross multiply
    4,460.64x = 6,122.72 × 3,952.16
  4. Step 4: Simplify right side
    4,460.64x = 24,197,969.08
  5. Step 5: Solve for x
    x = 24,197,969.08/4,460.64
  6. Step 6: Final answer
    x = 5,424.78

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.