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Finding the Fourth Proportional to 4,207.65, 5,804.49 and 2,715

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Solution

The fourth proportional to 4,207.65, 5,804.49 and 2,715 is: 3,745.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,207.65 : 5,804.49 = 2,715 : x
  2. Step 2: Convert to fraction form
    4,207.65/5,804.49 = 2,715/x
  3. Step 3: Cross multiply
    4,207.65x = 5,804.49 × 2,715
  4. Step 4: Simplify right side
    4,207.65x = 15,759,190.35
  5. Step 5: Solve for x
    x = 15,759,190.35/4,207.65
  6. Step 6: Final answer
    x = 3,745.37

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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.