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Finding the Fourth Proportional to 4,470, 6,706.44 and 2,276.88

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Solution

The fourth proportional to 4,470, 6,706.44 and 2,276.88 is: 3,416.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,470 : 6,706.44 = 2,276.88 : x
  2. Step 2: Convert to fraction form
    4,470/6,706.44 = 2,276.88/x
  3. Step 3: Cross multiply
    4,470x = 6,706.44 × 2,276.88
  4. Step 4: Simplify right side
    4,470x = 15,269,759.11
  5. Step 5: Solve for x
    x = 15,269,759.11/4,470
  6. Step 6: Final answer
    x = 3,416.05

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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.