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Finding the Fourth Proportional to 4,059.72, 6,090.42 and 1,462.68

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Solution

The fourth proportional to 4,059.72, 6,090.42 and 1,462.68 is: 2,194.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,059.72 : 6,090.42 = 1,462.68 : x
  2. Step 2: Convert to fraction form
    4,059.72/6,090.42 = 1,462.68/x
  3. Step 3: Cross multiply
    4,059.72x = 6,090.42 × 1,462.68
  4. Step 4: Simplify right side
    4,059.72x = 8,908,335.53
  5. Step 5: Solve for x
    x = 8,908,335.53/4,059.72
  6. Step 6: Final answer
    x = 2,194.32

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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.