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Finding the Fourth Proportional to 5,052.95, 7,579.62 and 1,765.97

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Solution

The fourth proportional to 5,052.95, 7,579.62 and 1,765.97 is: 2,649.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,052.95 : 7,579.62 = 1,765.97 : x
  2. Step 2: Convert to fraction form
    5,052.95/7,579.62 = 1,765.97/x
  3. Step 3: Cross multiply
    5,052.95x = 7,579.62 × 1,765.97
  4. Step 4: Simplify right side
    5,052.95x = 13,385,343.63
  5. Step 5: Solve for x
    x = 13,385,343.63/5,052.95
  6. Step 6: Final answer
    x = 2,649.02

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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.