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Finding the Fourth Proportional to 3,588.74, 4,952.66 and 2,096.57

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Solution

The fourth proportional to 3,588.74, 4,952.66 and 2,096.57 is: 2,893.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588.74 : 4,952.66 = 2,096.57 : x
  2. Step 2: Convert to fraction form
    3,588.74/4,952.66 = 2,096.57/x
  3. Step 3: Cross multiply
    3,588.74x = 4,952.66 × 2,096.57
  4. Step 4: Simplify right side
    3,588.74x = 10,383,598.38
  5. Step 5: Solve for x
    x = 10,383,598.38/3,588.74
  6. Step 6: Final answer
    x = 2,893.38

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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.