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Finding the Fourth Proportional to 3,494.94, 5,233.64 and 2,088.49

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Solution

The fourth proportional to 3,494.94, 5,233.64 and 2,088.49 is: 3,127.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.94 : 5,233.64 = 2,088.49 : x
  2. Step 2: Convert to fraction form
    3,494.94/5,233.64 = 2,088.49/x
  3. Step 3: Cross multiply
    3,494.94x = 5,233.64 × 2,088.49
  4. Step 4: Simplify right side
    3,494.94x = 10,930,389.11
  5. Step 5: Solve for x
    x = 10,930,389.11/3,494.94
  6. Step 6: Final answer
    x = 3,127.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.