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Finding the Fourth Proportional to 4,824.66, 7,226.64 and 4,298.88

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Solution

The fourth proportional to 4,824.66, 7,226.64 and 4,298.88 is: 6,439.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,824.66 : 7,226.64 = 4,298.88 : x
  2. Step 2: Convert to fraction form
    4,824.66/7,226.64 = 4,298.88/x
  3. Step 3: Cross multiply
    4,824.66x = 7,226.64 × 4,298.88
  4. Step 4: Simplify right side
    4,824.66x = 31,066,458.16
  5. Step 5: Solve for x
    x = 31,066,458.16/4,824.66
  6. Step 6: Final answer
    x = 6,439.10

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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.