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Finding the Fourth Proportional to 5,838, 8,056.44 and 4,347.20

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Solution

The fourth proportional to 5,838, 8,056.44 and 4,347.20 is: 5,999.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,838 : 8,056.44 = 4,347.20 : x
  2. Step 2: Convert to fraction form
    5,838/8,056.44 = 4,347.20/x
  3. Step 3: Cross multiply
    5,838x = 8,056.44 × 4,347.20
  4. Step 4: Simplify right side
    5,838x = 35,022,915.69
  5. Step 5: Solve for x
    x = 35,022,915.69/5,838
  6. Step 6: Final answer
    x = 5,999.13

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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.