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Finding the Fourth Proportional to 4,174.65, 5,759.06 and 2,495.21

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Solution

The fourth proportional to 4,174.65, 5,759.06 and 2,495.21 is: 3,442.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,174.65 : 5,759.06 = 2,495.21 : x
  2. Step 2: Convert to fraction form
    4,174.65/5,759.06 = 2,495.21/x
  3. Step 3: Cross multiply
    4,174.65x = 5,759.06 × 2,495.21
  4. Step 4: Simplify right side
    4,174.65x = 14,370,064.10
  5. Step 5: Solve for x
    x = 14,370,064.10/4,174.65
  6. Step 6: Final answer
    x = 3,442.22

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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.