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Finding the Fourth Proportional to 5,242, 7,228.05 and 4,044.26

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Solution

The fourth proportional to 5,242, 7,228.05 and 4,044.26 is: 5,576.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242 : 7,228.05 = 4,044.26 : x
  2. Step 2: Convert to fraction form
    5,242/7,228.05 = 4,044.26/x
  3. Step 3: Cross multiply
    5,242x = 7,228.05 × 4,044.26
  4. Step 4: Simplify right side
    5,242x = 29,232,113.49
  5. Step 5: Solve for x
    x = 29,232,113.49/5,242
  6. Step 6: Final answer
    x = 5,576.52

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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.