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Finding the Fourth Proportional to 5,297, 7,309.88 and 2,939.48

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Solution

The fourth proportional to 5,297, 7,309.88 and 2,939.48 is: 4,056.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297 : 7,309.88 = 2,939.48 : x
  2. Step 2: Convert to fraction form
    5,297/7,309.88 = 2,939.48/x
  3. Step 3: Cross multiply
    5,297x = 7,309.88 × 2,939.48
  4. Step 4: Simplify right side
    5,297x = 21,487,246.06
  5. Step 5: Solve for x
    x = 21,487,246.06/5,297
  6. Step 6: Final answer
    x = 4,056.49

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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.