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Finding the Fourth Proportional to 4,809.71, 7,217.40 and 3,054.64

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Solution

The fourth proportional to 4,809.71, 7,217.40 and 3,054.64 is: 4,583.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,809.71 : 7,217.40 = 3,054.64 : x
  2. Step 2: Convert to fraction form
    4,809.71/7,217.40 = 3,054.64/x
  3. Step 3: Cross multiply
    4,809.71x = 7,217.40 × 3,054.64
  4. Step 4: Simplify right side
    4,809.71x = 22,046,558.74
  5. Step 5: Solve for x
    x = 22,046,558.74/4,809.71
  6. Step 6: Final answer
    x = 4,583.76

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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.