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Finding the Fourth Proportional to 4,509.16, 6,766.16 and 2,200.66

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Solution

The fourth proportional to 4,509.16, 6,766.16 and 2,200.66 is: 3,302.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,509.16 : 6,766.16 = 2,200.66 : x
  2. Step 2: Convert to fraction form
    4,509.16/6,766.16 = 2,200.66/x
  3. Step 3: Cross multiply
    4,509.16x = 6,766.16 × 2,200.66
  4. Step 4: Simplify right side
    4,509.16x = 14,890,017.67
  5. Step 5: Solve for x
    x = 14,890,017.67/4,509.16
  6. Step 6: Final answer
    x = 3,302.17

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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.