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Finding the Fourth Proportional to 3,740.32, 5,605.62 and 3,682

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Solution

The fourth proportional to 3,740.32, 5,605.62 and 3,682 is: 5,518.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,740.32 : 5,605.62 = 3,682 : x
  2. Step 2: Convert to fraction form
    3,740.32/5,605.62 = 3,682/x
  3. Step 3: Cross multiply
    3,740.32x = 5,605.62 × 3,682
  4. Step 4: Simplify right side
    3,740.32x = 20,639,892.84
  5. Step 5: Solve for x
    x = 20,639,892.84/3,740.32
  6. Step 6: Final answer
    x = 5,518.22

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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.