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Finding the Fourth Proportional to 4,059.54, 6,090.21 and 1,287.06

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Solution

The fourth proportional to 4,059.54, 6,090.21 and 1,287.06 is: 1,930.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,059.54 : 6,090.21 = 1,287.06 : x
  2. Step 2: Convert to fraction form
    4,059.54/6,090.21 = 1,287.06/x
  3. Step 3: Cross multiply
    4,059.54x = 6,090.21 × 1,287.06
  4. Step 4: Simplify right side
    4,059.54x = 7,838,465.68
  5. Step 5: Solve for x
    x = 7,838,465.68/4,059.54
  6. Step 6: Final answer
    x = 1,930.88

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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.