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Finding the Fourth Proportional to 3,223.72, 4,835.56 and 1,759.76

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Solution

The fourth proportional to 3,223.72, 4,835.56 and 1,759.76 is: 2,639.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.72 : 4,835.56 = 1,759.76 : x
  2. Step 2: Convert to fraction form
    3,223.72/4,835.56 = 1,759.76/x
  3. Step 3: Cross multiply
    3,223.72x = 4,835.56 × 1,759.76
  4. Step 4: Simplify right side
    3,223.72x = 8,509,425.07
  5. Step 5: Solve for x
    x = 8,509,425.07/3,223.72
  6. Step 6: Final answer
    x = 2,639.63

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1.5x scale

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.