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Finding the Fourth Proportional to 3,881.78, 5,822.66 and 1,284.71

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Solution

The fourth proportional to 3,881.78, 5,822.66 and 1,284.71 is: 1,927.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.78 : 5,822.66 = 1,284.71 : x
  2. Step 2: Convert to fraction form
    3,881.78/5,822.66 = 1,284.71/x
  3. Step 3: Cross multiply
    3,881.78x = 5,822.66 × 1,284.71
  4. Step 4: Simplify right side
    3,881.78x = 7,480,437.66
  5. Step 5: Solve for x
    x = 7,480,437.66/3,881.78
  6. Step 6: Final answer
    x = 1,927.07

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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.