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Finding the Fourth Proportional to 5,059.47, 7,589.24 and 1,772.63

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Solution

The fourth proportional to 5,059.47, 7,589.24 and 1,772.63 is: 2,658.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,059.47 : 7,589.24 = 1,772.63 : x
  2. Step 2: Convert to fraction form
    5,059.47/7,589.24 = 1,772.63/x
  3. Step 3: Cross multiply
    5,059.47x = 7,589.24 × 1,772.63
  4. Step 4: Simplify right side
    5,059.47x = 13,452,914.50
  5. Step 5: Solve for x
    x = 13,452,914.50/5,059.47
  6. Step 6: Final answer
    x = 2,658.96

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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.