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Finding the Fourth Proportional to 4,064.85, 5,610.24 and 2,296.98

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Solution

The fourth proportional to 4,064.85, 5,610.24 and 2,296.98 is: 3,170.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,064.85 : 5,610.24 = 2,296.98 : x
  2. Step 2: Convert to fraction form
    4,064.85/5,610.24 = 2,296.98/x
  3. Step 3: Cross multiply
    4,064.85x = 5,610.24 × 2,296.98
  4. Step 4: Simplify right side
    4,064.85x = 12,886,609.08
  5. Step 5: Solve for x
    x = 12,886,609.08/4,064.85
  6. Step 6: Final answer
    x = 3,170.25

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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.