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Finding the Fourth Proportional to 3,518.34, 5,268.24 and 2,283.90

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Solution

The fourth proportional to 3,518.34, 5,268.24 and 2,283.90 is: 3,419.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,518.34 : 5,268.24 = 2,283.90 : x
  2. Step 2: Convert to fraction form
    3,518.34/5,268.24 = 2,283.90/x
  3. Step 3: Cross multiply
    3,518.34x = 5,268.24 × 2,283.90
  4. Step 4: Simplify right side
    3,518.34x = 12,032,113.58
  5. Step 5: Solve for x
    x = 12,032,113.58/3,518.34
  6. Step 6: Final answer
    x = 3,419.83

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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.