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Finding the Fourth Proportional to 3,876.51, 5,814.76 and 954.82

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Solution

The fourth proportional to 3,876.51, 5,814.76 and 954.82 is: 1,432.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.51 : 5,814.76 = 954.82 : x
  2. Step 2: Convert to fraction form
    3,876.51/5,814.76 = 954.82/x
  3. Step 3: Cross multiply
    3,876.51x = 5,814.76 × 954.82
  4. Step 4: Simplify right side
    3,876.51x = 5,552,020.07
  5. Step 5: Solve for x
    x = 5,552,020.07/3,876.51
  6. Step 6: Final answer
    x = 1,432.22

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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.