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Finding the Fourth Proportional to 3,175.32, 4,384.62 and 3,012.24

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Solution

The fourth proportional to 3,175.32, 4,384.62 and 3,012.24 is: 4,159.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.32 : 4,384.62 = 3,012.24 : x
  2. Step 2: Convert to fraction form
    3,175.32/4,384.62 = 3,012.24/x
  3. Step 3: Cross multiply
    3,175.32x = 4,384.62 × 3,012.24
  4. Step 4: Simplify right side
    3,175.32x = 13,207,527.75
  5. Step 5: Solve for x
    x = 13,207,527.75/3,175.32
  6. Step 6: Final answer
    x = 4,159.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.