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Finding the Fourth Proportional to 4,549.68, 6,816.24 and 3,160.08

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Solution

The fourth proportional to 4,549.68, 6,816.24 and 3,160.08 is: 4,734.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,549.68 : 6,816.24 = 3,160.08 : x
  2. Step 2: Convert to fraction form
    4,549.68/6,816.24 = 3,160.08/x
  3. Step 3: Cross multiply
    4,549.68x = 6,816.24 × 3,160.08
  4. Step 4: Simplify right side
    4,549.68x = 21,539,863.70
  5. Step 5: Solve for x
    x = 21,539,863.70/4,549.68
  6. Step 6: Final answer
    x = 4,734.37

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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.