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Finding the Fourth Proportional to 4,191.86, 6,282.92 and 1,878.50

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Solution

The fourth proportional to 4,191.86, 6,282.92 and 1,878.50 is: 2,815.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,191.86 : 6,282.92 = 1,878.50 : x
  2. Step 2: Convert to fraction form
    4,191.86/6,282.92 = 1,878.50/x
  3. Step 3: Cross multiply
    4,191.86x = 6,282.92 × 1,878.50
  4. Step 4: Simplify right side
    4,191.86x = 11,802,465.22
  5. Step 5: Solve for x
    x = 11,802,465.22/4,191.86
  6. Step 6: Final answer
    x = 2,815.57

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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.