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Finding the Fourth Proportional to 5,695.77, 8,537.50 and 3,235.39

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Solution

The fourth proportional to 5,695.77, 8,537.50 and 3,235.39 is: 4,849.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,695.77 : 8,537.50 = 3,235.39 : x
  2. Step 2: Convert to fraction form
    5,695.77/8,537.50 = 3,235.39/x
  3. Step 3: Cross multiply
    5,695.77x = 8,537.50 × 3,235.39
  4. Step 4: Simplify right side
    5,695.77x = 27,622,172.85
  5. Step 5: Solve for x
    x = 27,622,172.85/5,695.77
  6. Step 6: Final answer
    x = 4,849.60

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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.