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Finding the Fourth Proportional to 3,565.60, 5,354.80 and 3,450.40

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Solution

The fourth proportional to 3,565.60, 5,354.80 and 3,450.40 is: 5,181.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.60 : 5,354.80 = 3,450.40 : x
  2. Step 2: Convert to fraction form
    3,565.60/5,354.80 = 3,450.40/x
  3. Step 3: Cross multiply
    3,565.60x = 5,354.80 × 3,450.40
  4. Step 4: Simplify right side
    3,565.60x = 18,476,201.92
  5. Step 5: Solve for x
    x = 18,476,201.92/3,565.60
  6. Step 6: Final answer
    x = 5,181.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.