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Finding the Fourth Proportional to 4,322.57, 6,483.96 and 1,549.43

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Solution

The fourth proportional to 4,322.57, 6,483.96 and 1,549.43 is: 2,324.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,322.57 : 6,483.96 = 1,549.43 : x
  2. Step 2: Convert to fraction form
    4,322.57/6,483.96 = 1,549.43/x
  3. Step 3: Cross multiply
    4,322.57x = 6,483.96 × 1,549.43
  4. Step 4: Simplify right side
    4,322.57x = 10,046,458.35
  5. Step 5: Solve for x
    x = 10,046,458.35/4,322.57
  6. Step 6: Final answer
    x = 2,324.19

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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.