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Finding the Fourth Proportional to 3,699.34, 5,108.00 and 2,283.73

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Solution

The fourth proportional to 3,699.34, 5,108.00 and 2,283.73 is: 3,153.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.34 : 5,108.00 = 2,283.73 : x
  2. Step 2: Convert to fraction form
    3,699.34/5,108.00 = 2,283.73/x
  3. Step 3: Cross multiply
    3,699.34x = 5,108.00 × 2,283.73
  4. Step 4: Simplify right side
    3,699.34x = 11,665,268.65
  5. Step 5: Solve for x
    x = 11,665,268.65/3,699.34
  6. Step 6: Final answer
    x = 3,153.34

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1.5x scale

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.