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Finding the Fourth Proportional to 4,090.53, 6,129.51 and 1,896.72

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Solution

The fourth proportional to 4,090.53, 6,129.51 and 1,896.72 is: 2,842.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,090.53 : 6,129.51 = 1,896.72 : x
  2. Step 2: Convert to fraction form
    4,090.53/6,129.51 = 1,896.72/x
  3. Step 3: Cross multiply
    4,090.53x = 6,129.51 × 1,896.72
  4. Step 4: Simplify right side
    4,090.53x = 11,625,964.21
  5. Step 5: Solve for x
    x = 11,625,964.21/4,090.53
  6. Step 6: Final answer
    x = 2,842.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.