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Finding the Fourth Proportional to 3,424.48, 5,139.14 and 3,094

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Solution

The fourth proportional to 3,424.48, 5,139.14 and 3,094 is: 4,643.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424.48 : 5,139.14 = 3,094 : x
  2. Step 2: Convert to fraction form
    3,424.48/5,139.14 = 3,094/x
  3. Step 3: Cross multiply
    3,424.48x = 5,139.14 × 3,094
  4. Step 4: Simplify right side
    3,424.48x = 15,900,499.16
  5. Step 5: Solve for x
    x = 15,900,499.16/3,424.48
  6. Step 6: Final answer
    x = 4,643.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.