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Finding the Fourth Proportional to 3,710.70, 5,566.22 and 2,066.01

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Solution

The fourth proportional to 3,710.70, 5,566.22 and 2,066.01 is: 3,099.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710.70 : 5,566.22 = 2,066.01 : x
  2. Step 2: Convert to fraction form
    3,710.70/5,566.22 = 2,066.01/x
  3. Step 3: Cross multiply
    3,710.70x = 5,566.22 × 2,066.01
  4. Step 4: Simplify right side
    3,710.70x = 11,499,855.85
  5. Step 5: Solve for x
    x = 11,499,855.85/3,710.70
  6. Step 6: Final answer
    x = 3,099.11

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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.