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Finding the Fourth Proportional to 5,203.72, 7,804.16 and 2,427.65

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Solution

The fourth proportional to 5,203.72, 7,804.16 and 2,427.65 is: 3,640.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,203.72 : 7,804.16 = 2,427.65 : x
  2. Step 2: Convert to fraction form
    5,203.72/7,804.16 = 2,427.65/x
  3. Step 3: Cross multiply
    5,203.72x = 7,804.16 × 2,427.65
  4. Step 4: Simplify right side
    5,203.72x = 18,945,769.02
  5. Step 5: Solve for x
    x = 18,945,769.02/5,203.72
  6. Step 6: Final answer
    x = 3,640.81

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1.5x scale

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.