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Finding the Fourth Proportional to 3,678.32, 5,519.90 and 1,730.67

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Solution

The fourth proportional to 3,678.32, 5,519.90 and 1,730.67 is: 2,597.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.32 : 5,519.90 = 1,730.67 : x
  2. Step 2: Convert to fraction form
    3,678.32/5,519.90 = 1,730.67/x
  3. Step 3: Cross multiply
    3,678.32x = 5,519.90 × 1,730.67
  4. Step 4: Simplify right side
    3,678.32x = 9,553,143.25
  5. Step 5: Solve for x
    x = 9,553,143.25/3,678.32
  6. Step 6: Final answer
    x = 2,597.15

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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.