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Finding the Fourth Proportional to 4,174.63, 5,761.67 and 2,405.93

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Solution

The fourth proportional to 4,174.63, 5,761.67 and 2,405.93 is: 3,320.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,174.63 : 5,761.67 = 2,405.93 : x
  2. Step 2: Convert to fraction form
    4,174.63/5,761.67 = 2,405.93/x
  3. Step 3: Cross multiply
    4,174.63x = 5,761.67 × 2,405.93
  4. Step 4: Simplify right side
    4,174.63x = 13,862,174.70
  5. Step 5: Solve for x
    x = 13,862,174.70/4,174.63
  6. Step 6: Final answer
    x = 3,320.58

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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.