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Finding the Fourth Proportional to 3,723.84, 5,585.04 and 1,126.17

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Solution

The fourth proportional to 3,723.84, 5,585.04 and 1,126.17 is: 1,689.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,723.84 : 5,585.04 = 1,126.17 : x
  2. Step 2: Convert to fraction form
    3,723.84/5,585.04 = 1,126.17/x
  3. Step 3: Cross multiply
    3,723.84x = 5,585.04 × 1,126.17
  4. Step 4: Simplify right side
    3,723.84x = 6,289,704.50
  5. Step 5: Solve for x
    x = 6,289,704.50/3,723.84
  6. Step 6: Final answer
    x = 1,689.04

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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.