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Finding the Fourth Proportional to 5,798, 8,001.24 and 3,314

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Solution

The fourth proportional to 5,798, 8,001.24 and 3,314 is: 4,573.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798 : 8,001.24 = 3,314 : x
  2. Step 2: Convert to fraction form
    5,798/8,001.24 = 3,314/x
  3. Step 3: Cross multiply
    5,798x = 8,001.24 × 3,314
  4. Step 4: Simplify right side
    5,798x = 26,516,109.36
  5. Step 5: Solve for x
    x = 26,516,109.36/5,798
  6. Step 6: Final answer
    x = 4,573.32

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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.