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Finding the Fourth Proportional to 6,059.76, 9,090.48 and 2,549.20

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Solution

The fourth proportional to 6,059.76, 9,090.48 and 2,549.20 is: 3,824.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,059.76 : 9,090.48 = 2,549.20 : x
  2. Step 2: Convert to fraction form
    6,059.76/9,090.48 = 2,549.20/x
  3. Step 3: Cross multiply
    6,059.76x = 9,090.48 × 2,549.20
  4. Step 4: Simplify right side
    6,059.76x = 23,173,451.62
  5. Step 5: Solve for x
    x = 23,173,451.62/6,059.76
  6. Step 6: Final answer
    x = 3,824.15

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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.