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Finding the Fourth Proportional to 4,286.61, 5,945.56 and 4,111.65

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Solution

The fourth proportional to 4,286.61, 5,945.56 and 4,111.65 is: 5,702.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,286.61 : 5,945.56 = 4,111.65 : x
  2. Step 2: Convert to fraction form
    4,286.61/5,945.56 = 4,111.65/x
  3. Step 3: Cross multiply
    4,286.61x = 5,945.56 × 4,111.65
  4. Step 4: Simplify right side
    4,286.61x = 24,446,051.49
  5. Step 5: Solve for x
    x = 24,446,051.49/4,286.61
  6. Step 6: Final answer
    x = 5,702.89

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.