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Finding the Fourth Proportional to 6,056.57, 9,090.33 and 2,549.16

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Solution

The fourth proportional to 6,056.57, 9,090.33 and 2,549.16 is: 3,826.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,056.57 : 9,090.33 = 2,549.16 : x
  2. Step 2: Convert to fraction form
    6,056.57/9,090.33 = 2,549.16/x
  3. Step 3: Cross multiply
    6,056.57x = 9,090.33 × 2,549.16
  4. Step 4: Simplify right side
    6,056.57x = 23,172,721.98
  5. Step 5: Solve for x
    x = 23,172,721.98/6,056.57
  6. Step 6: Final answer
    x = 3,826.05

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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.