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Finding the Fourth Proportional to 3,881.58, 5,823.33 and 1,284.78

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Solution

The fourth proportional to 3,881.58, 5,823.33 and 1,284.78 is: 1,927.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.58 : 5,823.33 = 1,284.78 : x
  2. Step 2: Convert to fraction form
    3,881.58/5,823.33 = 1,284.78/x
  3. Step 3: Cross multiply
    3,881.58x = 5,823.33 × 1,284.78
  4. Step 4: Simplify right side
    3,881.58x = 7,481,697.92
  5. Step 5: Solve for x
    x = 7,481,697.92/3,881.58
  6. Step 6: Final answer
    x = 1,927.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.