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Finding the Fourth Proportional to 4,827.68, 7,241.52 and 2,523.68

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Solution

The fourth proportional to 4,827.68, 7,241.52 and 2,523.68 is: 3,785.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,827.68 : 7,241.52 = 2,523.68 : x
  2. Step 2: Convert to fraction form
    4,827.68/7,241.52 = 2,523.68/x
  3. Step 3: Cross multiply
    4,827.68x = 7,241.52 × 2,523.68
  4. Step 4: Simplify right side
    4,827.68x = 18,275,279.19
  5. Step 5: Solve for x
    x = 18,275,279.19/4,827.68
  6. Step 6: Final answer
    x = 3,785.52

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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.