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Finding the Fourth Proportional to 3,866.52, 5,800.20 and 1,269.66

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Solution

The fourth proportional to 3,866.52, 5,800.20 and 1,269.66 is: 1,904.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.52 : 5,800.20 = 1,269.66 : x
  2. Step 2: Convert to fraction form
    3,866.52/5,800.20 = 1,269.66/x
  3. Step 3: Cross multiply
    3,866.52x = 5,800.20 × 1,269.66
  4. Step 4: Simplify right side
    3,866.52x = 7,364,281.93
  5. Step 5: Solve for x
    x = 7,364,281.93/3,866.52
  6. Step 6: Final answer
    x = 1,904.63

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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.