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Finding the Fourth Proportional to 3,684.98, 5,527.61 and 1,087.91

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Solution

The fourth proportional to 3,684.98, 5,527.61 and 1,087.91 is: 1,631.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.98 : 5,527.61 = 1,087.91 : x
  2. Step 2: Convert to fraction form
    3,684.98/5,527.61 = 1,087.91/x
  3. Step 3: Cross multiply
    3,684.98x = 5,527.61 × 1,087.91
  4. Step 4: Simplify right side
    3,684.98x = 6,013,536.76
  5. Step 5: Solve for x
    x = 6,013,536.76/3,684.98
  6. Step 6: Final answer
    x = 1,631.91

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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.