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Finding the Fourth Proportional to 3,557.50, 4,907.19 and 2,296.54

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Solution

The fourth proportional to 3,557.50, 4,907.19 and 2,296.54 is: 3,167.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,557.50 : 4,907.19 = 2,296.54 : x
  2. Step 2: Convert to fraction form
    3,557.50/4,907.19 = 2,296.54/x
  3. Step 3: Cross multiply
    3,557.50x = 4,907.19 × 2,296.54
  4. Step 4: Simplify right side
    3,557.50x = 11,269,558.12
  5. Step 5: Solve for x
    x = 11,269,558.12/3,557.50
  6. Step 6: Final answer
    x = 3,167.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.