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Finding the Fourth Proportional to 6,590.59, 9,094.74 and 3,939.46

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Solution

The fourth proportional to 6,590.59, 9,094.74 and 3,939.46 is: 5,436.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,590.59 : 9,094.74 = 3,939.46 : x
  2. Step 2: Convert to fraction form
    6,590.59/9,094.74 = 3,939.46/x
  3. Step 3: Cross multiply
    6,590.59x = 9,094.74 × 3,939.46
  4. Step 4: Simplify right side
    6,590.59x = 35,828,299.27
  5. Step 5: Solve for x
    x = 35,828,299.27/6,590.59
  6. Step 6: Final answer
    x = 5,436.29

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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.