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Finding the Fourth Proportional to 4,129.74, 5,699.39 and 2,361.92

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Solution

The fourth proportional to 4,129.74, 5,699.39 and 2,361.92 is: 3,259.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,129.74 : 5,699.39 = 2,361.92 : x
  2. Step 2: Convert to fraction form
    4,129.74/5,699.39 = 2,361.92/x
  3. Step 3: Cross multiply
    4,129.74x = 5,699.39 × 2,361.92
  4. Step 4: Simplify right side
    4,129.74x = 13,461,462.92
  5. Step 5: Solve for x
    x = 13,461,462.92/4,129.74
  6. Step 6: Final answer
    x = 3,259.64

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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.