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Finding the Fourth Proportional to 4,549.71, 6,278.60 and 2,662.59

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Solution

The fourth proportional to 4,549.71, 6,278.60 and 2,662.59 is: 3,674.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,549.71 : 6,278.60 = 2,662.59 : x
  2. Step 2: Convert to fraction form
    4,549.71/6,278.60 = 2,662.59/x
  3. Step 3: Cross multiply
    4,549.71x = 6,278.60 × 2,662.59
  4. Step 4: Simplify right side
    4,549.71x = 16,717,324.26
  5. Step 5: Solve for x
    x = 16,717,324.26/4,549.71
  6. Step 6: Final answer
    x = 3,674.37

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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.