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Finding the Fourth Proportional to 3,574.02, 5,354.10 and 2,009.25

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Solution

The fourth proportional to 3,574.02, 5,354.10 and 2,009.25 is: 3,009.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.02 : 5,354.10 = 2,009.25 : x
  2. Step 2: Convert to fraction form
    3,574.02/5,354.10 = 2,009.25/x
  3. Step 3: Cross multiply
    3,574.02x = 5,354.10 × 2,009.25
  4. Step 4: Simplify right side
    3,574.02x = 10,757,725.43
  5. Step 5: Solve for x
    x = 10,757,725.43/3,574.02
  6. Step 6: Final answer
    x = 3,009.98

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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.