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Finding the Fourth Proportional to 4,166.92, 6,250.21 and 1,046.95

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Solution

The fourth proportional to 4,166.92, 6,250.21 and 1,046.95 is: 1,570.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.92 : 6,250.21 = 1,046.95 : x
  2. Step 2: Convert to fraction form
    4,166.92/6,250.21 = 1,046.95/x
  3. Step 3: Cross multiply
    4,166.92x = 6,250.21 × 1,046.95
  4. Step 4: Simplify right side
    4,166.92x = 6,543,657.36
  5. Step 5: Solve for x
    x = 6,543,657.36/4,166.92
  6. Step 6: Final answer
    x = 1,570.38

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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.