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Finding the Fourth Proportional to 3,473.64, 5,205.02 and 2,171.16

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Solution

The fourth proportional to 3,473.64, 5,205.02 and 2,171.16 is: 3,253.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473.64 : 5,205.02 = 2,171.16 : x
  2. Step 2: Convert to fraction form
    3,473.64/5,205.02 = 2,171.16/x
  3. Step 3: Cross multiply
    3,473.64x = 5,205.02 × 2,171.16
  4. Step 4: Simplify right side
    3,473.64x = 11,300,931.22
  5. Step 5: Solve for x
    x = 11,300,931.22/3,473.64
  6. Step 6: Final answer
    x = 3,253.34

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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.