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Finding the Fourth Proportional to 5,865.66, 8,080.98 and 4,094.16

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Solution

The fourth proportional to 5,865.66, 8,080.98 and 4,094.16 is: 5,640.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,865.66 : 8,080.98 = 4,094.16 : x
  2. Step 2: Convert to fraction form
    5,865.66/8,080.98 = 4,094.16/x
  3. Step 3: Cross multiply
    5,865.66x = 8,080.98 × 4,094.16
  4. Step 4: Simplify right side
    5,865.66x = 33,084,825.08
  5. Step 5: Solve for x
    x = 33,084,825.08/5,865.66
  6. Step 6: Final answer
    x = 5,640.43

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