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Finding the Fourth Proportional to 5,094.69, 7,034.83 and 4,150.64

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Solution

The fourth proportional to 5,094.69, 7,034.83 and 4,150.64 is: 5,731.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,094.69 : 7,034.83 = 4,150.64 : x
  2. Step 2: Convert to fraction form
    5,094.69/7,034.83 = 4,150.64/x
  3. Step 3: Cross multiply
    5,094.69x = 7,034.83 × 4,150.64
  4. Step 4: Simplify right side
    5,094.69x = 29,199,001.24
  5. Step 5: Solve for x
    x = 29,199,001.24/5,094.69
  6. Step 6: Final answer
    x = 5,731.26

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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.