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Finding the Fourth Proportional to 3,883.32, 5,823.48 and 1,285.56

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Solution

The fourth proportional to 3,883.32, 5,823.48 and 1,285.56 is: 1,927.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883.32 : 5,823.48 = 1,285.56 : x
  2. Step 2: Convert to fraction form
    3,883.32/5,823.48 = 1,285.56/x
  3. Step 3: Cross multiply
    3,883.32x = 5,823.48 × 1,285.56
  4. Step 4: Simplify right side
    3,883.32x = 7,486,432.95
  5. Step 5: Solve for x
    x = 7,486,432.95/3,883.32
  6. Step 6: Final answer
    x = 1,927.84

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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.