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Finding the Fourth Proportional to 3,706.32, 5,527.32 and 3,162

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Solution

The fourth proportional to 3,706.32, 5,527.32 and 3,162 is: 4,715.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.32 : 5,527.32 = 3,162 : x
  2. Step 2: Convert to fraction form
    3,706.32/5,527.32 = 3,162/x
  3. Step 3: Cross multiply
    3,706.32x = 5,527.32 × 3,162
  4. Step 4: Simplify right side
    3,706.32x = 17,477,385.84
  5. Step 5: Solve for x
    x = 17,477,385.84/3,706.32
  6. Step 6: Final answer
    x = 4,715.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.