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Finding the Fourth Proportional to 3,403.62, 5,102.19 and 1,093.50

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Solution

The fourth proportional to 3,403.62, 5,102.19 and 1,093.50 is: 1,639.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403.62 : 5,102.19 = 1,093.50 : x
  2. Step 2: Convert to fraction form
    3,403.62/5,102.19 = 1,093.50/x
  3. Step 3: Cross multiply
    3,403.62x = 5,102.19 × 1,093.50
  4. Step 4: Simplify right side
    3,403.62x = 5,579,244.77
  5. Step 5: Solve for x
    x = 5,579,244.77/3,403.62
  6. Step 6: Final answer
    x = 1,639.21

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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.