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Finding the Fourth Proportional to 4,378.86, 6,563.43 and 2,065.50

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Solution

The fourth proportional to 4,378.86, 6,563.43 and 2,065.50 is: 3,095.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,378.86 : 6,563.43 = 2,065.50 : x
  2. Step 2: Convert to fraction form
    4,378.86/6,563.43 = 2,065.50/x
  3. Step 3: Cross multiply
    4,378.86x = 6,563.43 × 2,065.50
  4. Step 4: Simplify right side
    4,378.86x = 13,556,764.67
  5. Step 5: Solve for x
    x = 13,556,764.67/4,378.86
  6. Step 6: Final answer
    x = 3,095.96

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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.