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Finding the Fourth Proportional to 3,518.70, 5,278.34 and 921.63

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Solution

The fourth proportional to 3,518.70, 5,278.34 and 921.63 is: 1,382.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,518.70 : 5,278.34 = 921.63 : x
  2. Step 2: Convert to fraction form
    3,518.70/5,278.34 = 921.63/x
  3. Step 3: Cross multiply
    3,518.70x = 5,278.34 × 921.63
  4. Step 4: Simplify right side
    3,518.70x = 4,864,676.49
  5. Step 5: Solve for x
    x = 4,864,676.49/3,518.70
  6. Step 6: Final answer
    x = 1,382.52

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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.