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Finding the Fourth Proportional to 5,282.01, 7,292.03 and 4,232.25

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Solution

The fourth proportional to 5,282.01, 7,292.03 and 4,232.25 is: 5,842.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,282.01 : 7,292.03 = 4,232.25 : x
  2. Step 2: Convert to fraction form
    5,282.01/7,292.03 = 4,232.25/x
  3. Step 3: Cross multiply
    5,282.01x = 7,292.03 × 4,232.25
  4. Step 4: Simplify right side
    5,282.01x = 30,861,672.81
  5. Step 5: Solve for x
    x = 30,861,672.81/5,282.01
  6. Step 6: Final answer
    x = 5,842.79

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Why These Related Problems?

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