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Finding the Fourth Proportional to 3,700.50, 5,551.86 and 2,140.14

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Solution

The fourth proportional to 3,700.50, 5,551.86 and 2,140.14 is: 3,210.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,700.50 : 5,551.86 = 2,140.14 : x
  2. Step 2: Convert to fraction form
    3,700.50/5,551.86 = 2,140.14/x
  3. Step 3: Cross multiply
    3,700.50x = 5,551.86 × 2,140.14
  4. Step 4: Simplify right side
    3,700.50x = 11,881,757.66
  5. Step 5: Solve for x
    x = 11,881,757.66/3,700.50
  6. Step 6: Final answer
    x = 3,210.85

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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.