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Finding the Fourth Proportional to 4,181.86, 6,267.93 and 1,868.50

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Solution

The fourth proportional to 4,181.86, 6,267.93 and 1,868.50 is: 2,800.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,181.86 : 6,267.93 = 1,868.50 : x
  2. Step 2: Convert to fraction form
    4,181.86/6,267.93 = 1,868.50/x
  3. Step 3: Cross multiply
    4,181.86x = 6,267.93 × 1,868.50
  4. Step 4: Simplify right side
    4,181.86x = 11,711,627.21
  5. Step 5: Solve for x
    x = 11,711,627.21/4,181.86
  6. Step 6: Final answer
    x = 2,800.58

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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.