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Finding the Fourth Proportional to 4,678.02, 7,010.96 and 4,082.09

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Solution

The fourth proportional to 4,678.02, 7,010.96 and 4,082.09 is: 6,117.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678.02 : 7,010.96 = 4,082.09 : x
  2. Step 2: Convert to fraction form
    4,678.02/7,010.96 = 4,082.09/x
  3. Step 3: Cross multiply
    4,678.02x = 7,010.96 × 4,082.09
  4. Step 4: Simplify right side
    4,678.02x = 28,619,314.24
  5. Step 5: Solve for x
    x = 28,619,314.24/4,678.02
  6. Step 6: Final answer
    x = 6,117.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.