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Finding the Fourth Proportional to 3,735.95, 5,603.91 and 1,138.88

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Solution

The fourth proportional to 3,735.95, 5,603.91 and 1,138.88 is: 1,708.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.95 : 5,603.91 = 1,138.88 : x
  2. Step 2: Convert to fraction form
    3,735.95/5,603.91 = 1,138.88/x
  3. Step 3: Cross multiply
    3,735.95x = 5,603.91 × 1,138.88
  4. Step 4: Simplify right side
    3,735.95x = 6,382,153.00
  5. Step 5: Solve for x
    x = 6,382,153.00/3,735.95
  6. Step 6: Final answer
    x = 1,708.31

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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.