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Finding the Fourth Proportional to 4,884.96, 7,327.68 and 1,596.72

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Solution

The fourth proportional to 4,884.96, 7,327.68 and 1,596.72 is: 2,395.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,884.96 : 7,327.68 = 1,596.72 : x
  2. Step 2: Convert to fraction form
    4,884.96/7,327.68 = 1,596.72/x
  3. Step 3: Cross multiply
    4,884.96x = 7,327.68 × 1,596.72
  4. Step 4: Simplify right side
    4,884.96x = 11,700,253.21
  5. Step 5: Solve for x
    x = 11,700,253.21/4,884.96
  6. Step 6: Final answer
    x = 2,395.16

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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.