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Finding the Fourth Proportional to 4,671.64, 7,004.22 and 2,204.38

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Solution

The fourth proportional to 4,671.64, 7,004.22 and 2,204.38 is: 3,305.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.64 : 7,004.22 = 2,204.38 : x
  2. Step 2: Convert to fraction form
    4,671.64/7,004.22 = 2,204.38/x
  3. Step 3: Cross multiply
    4,671.64x = 7,004.22 × 2,204.38
  4. Step 4: Simplify right side
    4,671.64x = 15,439,962.48
  5. Step 5: Solve for x
    x = 15,439,962.48/4,671.64
  6. Step 6: Final answer
    x = 3,305.04

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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.