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Finding the Fourth Proportional to 3,164.88, 4,721.64 and 3,051.42

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Solution

The fourth proportional to 3,164.88, 4,721.64 and 3,051.42 is: 4,552.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.88 : 4,721.64 = 3,051.42 : x
  2. Step 2: Convert to fraction form
    3,164.88/4,721.64 = 3,051.42/x
  3. Step 3: Cross multiply
    3,164.88x = 4,721.64 × 3,051.42
  4. Step 4: Simplify right side
    3,164.88x = 14,407,706.73
  5. Step 5: Solve for x
    x = 14,407,706.73/3,164.88
  6. Step 6: Final answer
    x = 4,552.37

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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.