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Finding the Fourth Proportional to 5,062.50, 7,589.14 and 1,773.79

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Solution

The fourth proportional to 5,062.50, 7,589.14 and 1,773.79 is: 2,659.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,062.50 : 7,589.14 = 1,773.79 : x
  2. Step 2: Convert to fraction form
    5,062.50/7,589.14 = 1,773.79/x
  3. Step 3: Cross multiply
    5,062.50x = 7,589.14 × 1,773.79
  4. Step 4: Simplify right side
    5,062.50x = 13,461,517.23
  5. Step 5: Solve for x
    x = 13,461,517.23/5,062.50
  6. Step 6: Final answer
    x = 2,659.07

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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.