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Finding the Fourth Proportional to 6,590.82, 9,096.39 and 3,758.25

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Solution

The fourth proportional to 6,590.82, 9,096.39 and 3,758.25 is: 5,186.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,590.82 : 9,096.39 = 3,758.25 : x
  2. Step 2: Convert to fraction form
    6,590.82/9,096.39 = 3,758.25/x
  3. Step 3: Cross multiply
    6,590.82x = 9,096.39 × 3,758.25
  4. Step 4: Simplify right side
    6,590.82x = 34,186,507.72
  5. Step 5: Solve for x
    x = 34,186,507.72/6,590.82
  6. Step 6: Final answer
    x = 5,186.99

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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.