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Finding the Fourth Proportional to 3,603.87, 5,406.25 and 1,138.32

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Solution

The fourth proportional to 3,603.87, 5,406.25 and 1,138.32 is: 1,707.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,603.87 : 5,406.25 = 1,138.32 : x
  2. Step 2: Convert to fraction form
    3,603.87/5,406.25 = 1,138.32/x
  3. Step 3: Cross multiply
    3,603.87x = 5,406.25 × 1,138.32
  4. Step 4: Simplify right side
    3,603.87x = 6,154,042.50
  5. Step 5: Solve for x
    x = 6,154,042.50/3,603.87
  6. Step 6: Final answer
    x = 1,707.62

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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.