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Finding the Fourth Proportional to 3,709.70, 5,564.55 and 3,083.30

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Solution

The fourth proportional to 3,709.70, 5,564.55 and 3,083.30 is: 4,624.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.70 : 5,564.55 = 3,083.30 : x
  2. Step 2: Convert to fraction form
    3,709.70/5,564.55 = 3,083.30/x
  3. Step 3: Cross multiply
    3,709.70x = 5,564.55 × 3,083.30
  4. Step 4: Simplify right side
    3,709.70x = 17,157,177.02
  5. Step 5: Solve for x
    x = 17,157,177.02/3,709.70
  6. Step 6: Final answer
    x = 4,624.95

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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.