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Finding the Fourth Proportional to 3,588.96, 4,952.68 and 2,097

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Solution

The fourth proportional to 3,588.96, 4,952.68 and 2,097 is: 2,893.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588.96 : 4,952.68 = 2,097 : x
  2. Step 2: Convert to fraction form
    3,588.96/4,952.68 = 2,097/x
  3. Step 3: Cross multiply
    3,588.96x = 4,952.68 × 2,097
  4. Step 4: Simplify right side
    3,588.96x = 10,385,769.96
  5. Step 5: Solve for x
    x = 10,385,769.96/3,588.96
  6. Step 6: Final answer
    x = 2,893.81

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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.