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Finding the Fourth Proportional to 5,094.01, 7,029.48 and 2,998

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Solution

The fourth proportional to 5,094.01, 7,029.48 and 2,998 is: 4,137.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,094.01 : 7,029.48 = 2,998 : x
  2. Step 2: Convert to fraction form
    5,094.01/7,029.48 = 2,998/x
  3. Step 3: Cross multiply
    5,094.01x = 7,029.48 × 2,998
  4. Step 4: Simplify right side
    5,094.01x = 21,074,381.04
  5. Step 5: Solve for x
    x = 21,074,381.04/5,094.01
  6. Step 6: Final answer
    x = 4,137.09

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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.