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Finding the Fourth Proportional to 5,425.70, 8,138.20 and 1,730.59

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Solution

The fourth proportional to 5,425.70, 8,138.20 and 1,730.59 is: 2,595.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,425.70 : 8,138.20 = 1,730.59 : x
  2. Step 2: Convert to fraction form
    5,425.70/8,138.20 = 1,730.59/x
  3. Step 3: Cross multiply
    5,425.70x = 8,138.20 × 1,730.59
  4. Step 4: Simplify right side
    5,425.70x = 14,083,887.54
  5. Step 5: Solve for x
    x = 14,083,887.54/5,425.70
  6. Step 6: Final answer
    x = 2,595.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.