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Finding the Fourth Proportional to 3,161.28, 4,714.32 and 3,012.24

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Solution

The fourth proportional to 3,161.28, 4,714.32 and 3,012.24 is: 4,492.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161.28 : 4,714.32 = 3,012.24 : x
  2. Step 2: Convert to fraction form
    3,161.28/4,714.32 = 3,012.24/x
  3. Step 3: Cross multiply
    3,161.28x = 4,714.32 × 3,012.24
  4. Step 4: Simplify right side
    3,161.28x = 14,200,663.28
  5. Step 5: Solve for x
    x = 14,200,663.28/3,161.28
  6. Step 6: Final answer
    x = 4,492.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.