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Finding the Fourth Proportional to 5,896.64, 8,129.48 and 5,053.80

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Solution

The fourth proportional to 5,896.64, 8,129.48 and 5,053.80 is: 6,967.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.64 : 8,129.48 = 5,053.80 : x
  2. Step 2: Convert to fraction form
    5,896.64/8,129.48 = 5,053.80/x
  3. Step 3: Cross multiply
    5,896.64x = 8,129.48 × 5,053.80
  4. Step 4: Simplify right side
    5,896.64x = 41,084,766.02
  5. Step 5: Solve for x
    x = 41,084,766.02/5,896.64
  6. Step 6: Final answer
    x = 6,967.49

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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.