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Finding the Fourth Proportional to 3,911.94, 5,837.58 and 3,496.50

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Solution

The fourth proportional to 3,911.94, 5,837.58 and 3,496.50 is: 5,217.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911.94 : 5,837.58 = 3,496.50 : x
  2. Step 2: Convert to fraction form
    3,911.94/5,837.58 = 3,496.50/x
  3. Step 3: Cross multiply
    3,911.94x = 5,837.58 × 3,496.50
  4. Step 4: Simplify right side
    3,911.94x = 20,411,098.47
  5. Step 5: Solve for x
    x = 20,411,098.47/3,911.94
  6. Step 6: Final answer
    x = 5,217.64

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.