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Finding the Fourth Proportional to 5,093.01, 7,029 and 2,968.64

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Solution

The fourth proportional to 5,093.01, 7,029 and 2,968.64 is: 4,097.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,093.01 : 7,029 = 2,968.64 : x
  2. Step 2: Convert to fraction form
    5,093.01/7,029 = 2,968.64/x
  3. Step 3: Cross multiply
    5,093.01x = 7,029 × 2,968.64
  4. Step 4: Simplify right side
    5,093.01x = 20,866,570.56
  5. Step 5: Solve for x
    x = 20,866,570.56/5,093.01
  6. Step 6: Final answer
    x = 4,097.10

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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.