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Finding the Fourth Proportional to 5,259.85, 7,258.54 and 2,902

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Solution

The fourth proportional to 5,259.85, 7,258.54 and 2,902 is: 4,004.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,259.85 : 7,258.54 = 2,902 : x
  2. Step 2: Convert to fraction form
    5,259.85/7,258.54 = 2,902/x
  3. Step 3: Cross multiply
    5,259.85x = 7,258.54 × 2,902
  4. Step 4: Simplify right side
    5,259.85x = 21,064,283.08
  5. Step 5: Solve for x
    x = 21,064,283.08/5,259.85
  6. Step 6: Final answer
    x = 4,004.73

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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.