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Finding the Fourth Proportional to 3,866.50, 5,800.74 and 1,269.46

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Solution

The fourth proportional to 3,866.50, 5,800.74 and 1,269.46 is: 1,904.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.50 : 5,800.74 = 1,269.46 : x
  2. Step 2: Convert to fraction form
    3,866.50/5,800.74 = 1,269.46/x
  3. Step 3: Cross multiply
    3,866.50x = 5,800.74 × 1,269.46
  4. Step 4: Simplify right side
    3,866.50x = 7,363,807.40
  5. Step 5: Solve for x
    x = 7,363,807.40/3,866.50
  6. Step 6: Final answer
    x = 1,904.52

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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.