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Finding the Fourth Proportional to 4,766.86, 7,166.76 and 4,406.05

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Solution

The fourth proportional to 4,766.86, 7,166.76 and 4,406.05 is: 6,624.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766.86 : 7,166.76 = 4,406.05 : x
  2. Step 2: Convert to fraction form
    4,766.86/7,166.76 = 4,406.05/x
  3. Step 3: Cross multiply
    4,766.86x = 7,166.76 × 4,406.05
  4. Step 4: Simplify right side
    4,766.86x = 31,577,102.90
  5. Step 5: Solve for x
    x = 31,577,102.90/4,766.86
  6. Step 6: Final answer
    x = 6,624.30

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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.