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Finding the Fourth Proportional to 3,489.53, 5,223.91 and 2,315.48

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Solution

The fourth proportional to 3,489.53, 5,223.91 and 2,315.48 is: 3,466.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.53 : 5,223.91 = 2,315.48 : x
  2. Step 2: Convert to fraction form
    3,489.53/5,223.91 = 2,315.48/x
  3. Step 3: Cross multiply
    3,489.53x = 5,223.91 × 2,315.48
  4. Step 4: Simplify right side
    3,489.53x = 12,095,827.22
  5. Step 5: Solve for x
    x = 12,095,827.22/3,489.53
  6. Step 6: Final answer
    x = 3,466.32

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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.