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Finding the Fourth Proportional to 5,296.96, 7,309.74 and 2,939.15

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Solution

The fourth proportional to 5,296.96, 7,309.74 and 2,939.15 is: 4,056.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.96 : 7,309.74 = 2,939.15 : x
  2. Step 2: Convert to fraction form
    5,296.96/7,309.74 = 2,939.15/x
  3. Step 3: Cross multiply
    5,296.96x = 7,309.74 × 2,939.15
  4. Step 4: Simplify right side
    5,296.96x = 21,484,451.62
  5. Step 5: Solve for x
    x = 21,484,451.62/5,296.96
  6. Step 6: Final answer
    x = 4,056.00

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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.