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Finding the Fourth Proportional to 5,202.42, 7,803.15 and 2,703.48

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Solution

The fourth proportional to 5,202.42, 7,803.15 and 2,703.48 is: 4,054.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.42 : 7,803.15 = 2,703.48 : x
  2. Step 2: Convert to fraction form
    5,202.42/7,803.15 = 2,703.48/x
  3. Step 3: Cross multiply
    5,202.42x = 7,803.15 × 2,703.48
  4. Step 4: Simplify right side
    5,202.42x = 21,095,659.96
  5. Step 5: Solve for x
    x = 21,095,659.96/5,202.42
  6. Step 6: Final answer
    x = 4,054.97

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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.