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Finding the Fourth Proportional to 3,489.04, 5,225.48 and 3,463.12

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Solution

The fourth proportional to 3,489.04, 5,225.48 and 3,463.12 is: 5,186.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.04 : 5,225.48 = 3,463.12 : x
  2. Step 2: Convert to fraction form
    3,489.04/5,225.48 = 3,463.12/x
  3. Step 3: Cross multiply
    3,489.04x = 5,225.48 × 3,463.12
  4. Step 4: Simplify right side
    3,489.04x = 18,096,466.50
  5. Step 5: Solve for x
    x = 18,096,466.50/3,489.04
  6. Step 6: Final answer
    x = 5,186.66

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Why These Related Problems?

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