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Finding the Fourth Proportional to 3,709.90, 5,565.93 and 1,759.42

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Solution

The fourth proportional to 3,709.90, 5,565.93 and 1,759.42 is: 2,639.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.90 : 5,565.93 = 1,759.42 : x
  2. Step 2: Convert to fraction form
    3,709.90/5,565.93 = 1,759.42/x
  3. Step 3: Cross multiply
    3,709.90x = 5,565.93 × 1,759.42
  4. Step 4: Simplify right side
    3,709.90x = 9,792,808.56
  5. Step 5: Solve for x
    x = 9,792,808.56/3,709.90
  6. Step 6: Final answer
    x = 2,639.64

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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.