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Finding the Fourth Proportional to 4,472.46, 6,706.88 and 1,351.50

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Solution

The fourth proportional to 4,472.46, 6,706.88 and 1,351.50 is: 2,026.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,472.46 : 6,706.88 = 1,351.50 : x
  2. Step 2: Convert to fraction form
    4,472.46/6,706.88 = 1,351.50/x
  3. Step 3: Cross multiply
    4,472.46x = 6,706.88 × 1,351.50
  4. Step 4: Simplify right side
    4,472.46x = 9,064,348.32
  5. Step 5: Solve for x
    x = 9,064,348.32/4,472.46
  6. Step 6: Final answer
    x = 2,026.70

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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.