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Finding the Fourth Proportional to 3,699.81, 5,104.99 and 2,355.96

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Solution

The fourth proportional to 3,699.81, 5,104.99 and 2,355.96 is: 3,250.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.81 : 5,104.99 = 2,355.96 : x
  2. Step 2: Convert to fraction form
    3,699.81/5,104.99 = 2,355.96/x
  3. Step 3: Cross multiply
    3,699.81x = 5,104.99 × 2,355.96
  4. Step 4: Simplify right side
    3,699.81x = 12,027,152.24
  5. Step 5: Solve for x
    x = 12,027,152.24/3,699.81
  6. Step 6: Final answer
    x = 3,250.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.