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Finding the Fourth Proportional to 3,492.36, 5,259.33 and 3,149.64

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Solution

The fourth proportional to 3,492.36, 5,259.33 and 3,149.64 is: 4,743.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.36 : 5,259.33 = 3,149.64 : x
  2. Step 2: Convert to fraction form
    3,492.36/5,259.33 = 3,149.64/x
  3. Step 3: Cross multiply
    3,492.36x = 5,259.33 × 3,149.64
  4. Step 4: Simplify right side
    3,492.36x = 16,564,996.14
  5. Step 5: Solve for x
    x = 16,564,996.14/3,492.36
  6. Step 6: Final answer
    x = 4,743.21

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.