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Finding the Fourth Proportional to 3,660.50, 5,486.69 and 1,807.70

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Solution

The fourth proportional to 3,660.50, 5,486.69 and 1,807.70 is: 2,709.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,660.50 : 5,486.69 = 1,807.70 : x
  2. Step 2: Convert to fraction form
    3,660.50/5,486.69 = 1,807.70/x
  3. Step 3: Cross multiply
    3,660.50x = 5,486.69 × 1,807.70
  4. Step 4: Simplify right side
    3,660.50x = 9,918,253.04
  5. Step 5: Solve for x
    x = 9,918,253.04/3,660.50
  6. Step 6: Final answer
    x = 2,709.54

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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.