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Finding the Fourth Proportional to 5,951.41, 8,924 and 2,054.89

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Solution

The fourth proportional to 5,951.41, 8,924 and 2,054.89 is: 3,081.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,951.41 : 8,924 = 2,054.89 : x
  2. Step 2: Convert to fraction form
    5,951.41/8,924 = 2,054.89/x
  3. Step 3: Cross multiply
    5,951.41x = 8,924 × 2,054.89
  4. Step 4: Simplify right side
    5,951.41x = 18,337,838.36
  5. Step 5: Solve for x
    x = 18,337,838.36/5,951.41
  6. Step 6: Final answer
    x = 3,081.26

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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.