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Finding the Fourth Proportional to 3,690.71, 5,535.12 and 1,093.04

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Solution

The fourth proportional to 3,690.71, 5,535.12 and 1,093.04 is: 1,639.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,690.71 : 5,535.12 = 1,093.04 : x
  2. Step 2: Convert to fraction form
    3,690.71/5,535.12 = 1,093.04/x
  3. Step 3: Cross multiply
    3,690.71x = 5,535.12 × 1,093.04
  4. Step 4: Simplify right side
    3,690.71x = 6,050,124.14
  5. Step 5: Solve for x
    x = 6,050,124.14/3,690.71
  6. Step 6: Final answer
    x = 1,639.28

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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.