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Finding the Fourth Proportional to 3,773.55, 5,653.94 and 2,309.65

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Solution

The fourth proportional to 3,773.55, 5,653.94 and 2,309.65 is: 3,460.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.55 : 5,653.94 = 2,309.65 : x
  2. Step 2: Convert to fraction form
    3,773.55/5,653.94 = 2,309.65/x
  3. Step 3: Cross multiply
    3,773.55x = 5,653.94 × 2,309.65
  4. Step 4: Simplify right side
    3,773.55x = 13,058,596.84
  5. Step 5: Solve for x
    x = 13,058,596.84/3,773.55
  6. Step 6: Final answer
    x = 3,460.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.