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Finding the Fourth Proportional to 5,395, 7,445.40 and 3,299.26

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Solution

The fourth proportional to 5,395, 7,445.40 and 3,299.26 is: 4,553.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,395 : 7,445.40 = 3,299.26 : x
  2. Step 2: Convert to fraction form
    5,395/7,445.40 = 3,299.26/x
  3. Step 3: Cross multiply
    5,395x = 7,445.40 × 3,299.26
  4. Step 4: Simplify right side
    5,395x = 24,564,310.40
  5. Step 5: Solve for x
    x = 24,564,310.40/5,395
  6. Step 6: Final answer
    x = 4,553.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.