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Finding the Fourth Proportional to 3,914.69, 5,866.53 and 2,160.50

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Solution

The fourth proportional to 3,914.69, 5,866.53 and 2,160.50 is: 3,237.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914.69 : 5,866.53 = 2,160.50 : x
  2. Step 2: Convert to fraction form
    3,914.69/5,866.53 = 2,160.50/x
  3. Step 3: Cross multiply
    3,914.69x = 5,866.53 × 2,160.50
  4. Step 4: Simplify right side
    3,914.69x = 12,674,652.73
  5. Step 5: Solve for x
    x = 12,674,652.73/3,914.69
  6. Step 6: Final answer
    x = 3,237.72

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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.