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Finding the Fourth Proportional to 3,501.78, 5,254.08 and 3,446.49

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Solution

The fourth proportional to 3,501.78, 5,254.08 and 3,446.49 is: 5,171.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,501.78 : 5,254.08 = 3,446.49 : x
  2. Step 2: Convert to fraction form
    3,501.78/5,254.08 = 3,446.49/x
  3. Step 3: Cross multiply
    3,501.78x = 5,254.08 × 3,446.49
  4. Step 4: Simplify right side
    3,501.78x = 18,108,134.18
  5. Step 5: Solve for x
    x = 18,108,134.18/3,501.78
  6. Step 6: Final answer
    x = 5,171.12

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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.