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Finding the Fourth Proportional to 4,324.48, 6,493.20 and 2,477.68

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Solution

The fourth proportional to 4,324.48, 6,493.20 and 2,477.68 is: 3,720.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,324.48 : 6,493.20 = 2,477.68 : x
  2. Step 2: Convert to fraction form
    4,324.48/6,493.20 = 2,477.68/x
  3. Step 3: Cross multiply
    4,324.48x = 6,493.20 × 2,477.68
  4. Step 4: Simplify right side
    4,324.48x = 16,088,071.78
  5. Step 5: Solve for x
    x = 16,088,071.78/4,324.48
  6. Step 6: Final answer
    x = 3,720.23

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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.