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Finding the Fourth Proportional to 3,477.76, 5,207.52 and 2,380.48

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Solution

The fourth proportional to 3,477.76, 5,207.52 and 2,380.48 is: 3,564.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.76 : 5,207.52 = 2,380.48 : x
  2. Step 2: Convert to fraction form
    3,477.76/5,207.52 = 2,380.48/x
  3. Step 3: Cross multiply
    3,477.76x = 5,207.52 × 2,380.48
  4. Step 4: Simplify right side
    3,477.76x = 12,396,397.21
  5. Step 5: Solve for x
    x = 12,396,397.21/3,477.76
  6. Step 6: Final answer
    x = 3,564.48

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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.