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Finding the Fourth Proportional to 5,765.59, 7,939.74 and 5,009.02

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Solution

The fourth proportional to 5,765.59, 7,939.74 and 5,009.02 is: 6,897.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.59 : 7,939.74 = 5,009.02 : x
  2. Step 2: Convert to fraction form
    5,765.59/7,939.74 = 5,009.02/x
  3. Step 3: Cross multiply
    5,765.59x = 7,939.74 × 5,009.02
  4. Step 4: Simplify right side
    5,765.59x = 39,770,316.45
  5. Step 5: Solve for x
    x = 39,770,316.45/5,765.59
  6. Step 6: Final answer
    x = 6,897.87

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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.