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Finding the Fourth Proportional to 3,883.32, 5,821.47 and 1,416.39

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Solution

The fourth proportional to 3,883.32, 5,821.47 and 1,416.39 is: 2,123.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883.32 : 5,821.47 = 1,416.39 : x
  2. Step 2: Convert to fraction form
    3,883.32/5,821.47 = 1,416.39/x
  3. Step 3: Cross multiply
    3,883.32x = 5,821.47 × 1,416.39
  4. Step 4: Simplify right side
    3,883.32x = 8,245,471.89
  5. Step 5: Solve for x
    x = 8,245,471.89/3,883.32
  6. Step 6: Final answer
    x = 2,123.30

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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.