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Finding the Fourth Proportional to 5,384.48, 8,074.28 and 1,921.82

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Solution

The fourth proportional to 5,384.48, 8,074.28 and 1,921.82 is: 2,881.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,384.48 : 8,074.28 = 1,921.82 : x
  2. Step 2: Convert to fraction form
    5,384.48/8,074.28 = 1,921.82/x
  3. Step 3: Cross multiply
    5,384.48x = 8,074.28 × 1,921.82
  4. Step 4: Simplify right side
    5,384.48x = 15,517,277.22
  5. Step 5: Solve for x
    x = 15,517,277.22/5,384.48
  6. Step 6: Final answer
    x = 2,881.86

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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.