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Finding the Fourth Proportional to 5,193.24, 7,790.94 and 1,730.76

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Solution

The fourth proportional to 5,193.24, 7,790.94 and 1,730.76 is: 2,596.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.24 : 7,790.94 = 1,730.76 : x
  2. Step 2: Convert to fraction form
    5,193.24/7,790.94 = 1,730.76/x
  3. Step 3: Cross multiply
    5,193.24x = 7,790.94 × 1,730.76
  4. Step 4: Simplify right side
    5,193.24x = 13,484,247.31
  5. Step 5: Solve for x
    x = 13,484,247.31/5,193.24
  6. Step 6: Final answer
    x = 2,596.50

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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.