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Finding the Fourth Proportional to 6,090.56, 9,134.40 and 2,801.60

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Solution

The fourth proportional to 6,090.56, 9,134.40 and 2,801.60 is: 4,201.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,090.56 : 9,134.40 = 2,801.60 : x
  2. Step 2: Convert to fraction form
    6,090.56/9,134.40 = 2,801.60/x
  3. Step 3: Cross multiply
    6,090.56x = 9,134.40 × 2,801.60
  4. Step 4: Simplify right side
    6,090.56x = 25,590,935.04
  5. Step 5: Solve for x
    x = 25,590,935.04/6,090.56
  6. Step 6: Final answer
    x = 4,201.74

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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.