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Finding the Fourth Proportional to 4,884.96, 7,324.20 and 3,152.64

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Solution

The fourth proportional to 4,884.96, 7,324.20 and 3,152.64 is: 4,726.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,884.96 : 7,324.20 = 3,152.64 : x
  2. Step 2: Convert to fraction form
    4,884.96/7,324.20 = 3,152.64/x
  3. Step 3: Cross multiply
    4,884.96x = 7,324.20 × 3,152.64
  4. Step 4: Simplify right side
    4,884.96x = 23,090,565.89
  5. Step 5: Solve for x
    x = 23,090,565.89/4,884.96
  6. Step 6: Final answer
    x = 4,726.87

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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.