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Finding the Fourth Proportional to 5,193.46, 7,790.31 and 1,730.71

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Solution

The fourth proportional to 5,193.46, 7,790.31 and 1,730.71 is: 2,596.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.46 : 7,790.31 = 1,730.71 : x
  2. Step 2: Convert to fraction form
    5,193.46/7,790.31 = 1,730.71/x
  3. Step 3: Cross multiply
    5,193.46x = 7,790.31 × 1,730.71
  4. Step 4: Simplify right side
    5,193.46x = 13,482,767.42
  5. Step 5: Solve for x
    x = 13,482,767.42/5,193.46
  6. Step 6: Final answer
    x = 2,596.10

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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.