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Finding the Fourth Proportional to 4,090.84, 5,644.62 and 2,674.16

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Solution

The fourth proportional to 4,090.84, 5,644.62 and 2,674.16 is: 3,689.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,090.84 : 5,644.62 = 2,674.16 : x
  2. Step 2: Convert to fraction form
    4,090.84/5,644.62 = 2,674.16/x
  3. Step 3: Cross multiply
    4,090.84x = 5,644.62 × 2,674.16
  4. Step 4: Simplify right side
    4,090.84x = 15,094,617.02
  5. Step 5: Solve for x
    x = 15,094,617.02/4,090.84
  6. Step 6: Final answer
    x = 3,689.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.