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Finding the Fourth Proportional to 6,034.14, 8,331.93 and 4,046.40

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Solution

The fourth proportional to 6,034.14, 8,331.93 and 4,046.40 is: 5,587.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,034.14 : 8,331.93 = 4,046.40 : x
  2. Step 2: Convert to fraction form
    6,034.14/8,331.93 = 4,046.40/x
  3. Step 3: Cross multiply
    6,034.14x = 8,331.93 × 4,046.40
  4. Step 4: Simplify right side
    6,034.14x = 33,714,321.55
  5. Step 5: Solve for x
    x = 33,714,321.55/6,034.14
  6. Step 6: Final answer
    x = 5,587.26

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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.