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Finding the Fourth Proportional to 3,175.72, 4,770.90 and 3,044.50

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Solution

The fourth proportional to 3,175.72, 4,770.90 and 3,044.50 is: 4,573.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.72 : 4,770.90 = 3,044.50 : x
  2. Step 2: Convert to fraction form
    3,175.72/4,770.90 = 3,044.50/x
  3. Step 3: Cross multiply
    3,175.72x = 4,770.90 × 3,044.50
  4. Step 4: Simplify right side
    3,175.72x = 14,525,005.05
  5. Step 5: Solve for x
    x = 14,525,005.05/3,175.72
  6. Step 6: Final answer
    x = 4,573.77

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1.5x scale

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.