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Finding the Fourth Proportional to 4,678.85, 7,016.22 and 1,755.11

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Solution

The fourth proportional to 4,678.85, 7,016.22 and 1,755.11 is: 2,631.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678.85 : 7,016.22 = 1,755.11 : x
  2. Step 2: Convert to fraction form
    4,678.85/7,016.22 = 1,755.11/x
  3. Step 3: Cross multiply
    4,678.85x = 7,016.22 × 1,755.11
  4. Step 4: Simplify right side
    4,678.85x = 12,314,209.38
  5. Step 5: Solve for x
    x = 12,314,209.38/4,678.85
  6. Step 6: Final answer
    x = 2,631.89

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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.