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Finding the Fourth Proportional to 4,257.81, 6,384.65 and 1,484.64

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Solution

The fourth proportional to 4,257.81, 6,384.65 and 1,484.64 is: 2,226.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,257.81 : 6,384.65 = 1,484.64 : x
  2. Step 2: Convert to fraction form
    4,257.81/6,384.65 = 1,484.64/x
  3. Step 3: Cross multiply
    4,257.81x = 6,384.65 × 1,484.64
  4. Step 4: Simplify right side
    4,257.81x = 9,478,906.78
  5. Step 5: Solve for x
    x = 9,478,906.78/4,257.81
  6. Step 6: Final answer
    x = 2,226.24

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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.