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Finding the Fourth Proportional to 5,259.42, 7,258.14 and 2,901.42

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Solution

The fourth proportional to 5,259.42, 7,258.14 and 2,901.42 is: 4,004.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,259.42 : 7,258.14 = 2,901.42 : x
  2. Step 2: Convert to fraction form
    5,259.42/7,258.14 = 2,901.42/x
  3. Step 3: Cross multiply
    5,259.42x = 7,258.14 × 2,901.42
  4. Step 4: Simplify right side
    5,259.42x = 21,058,912.56
  5. Step 5: Solve for x
    x = 21,058,912.56/5,259.42
  6. Step 6: Final answer
    x = 4,004.04

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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.