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Finding the Fourth Proportional to 3,881.52, 5,821.62 and 1,284.48

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Solution

The fourth proportional to 3,881.52, 5,821.62 and 1,284.48 is: 1,926.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.52 : 5,821.62 = 1,284.48 : x
  2. Step 2: Convert to fraction form
    3,881.52/5,821.62 = 1,284.48/x
  3. Step 3: Cross multiply
    3,881.52x = 5,821.62 × 1,284.48
  4. Step 4: Simplify right side
    3,881.52x = 7,477,754.46
  5. Step 5: Solve for x
    x = 7,477,754.46/3,881.52
  6. Step 6: Final answer
    x = 1,926.50

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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.