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Finding the Fourth Proportional to 3,476.64, 5,215.40 and 1,528.64

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Solution

The fourth proportional to 3,476.64, 5,215.40 and 1,528.64 is: 2,293.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476.64 : 5,215.40 = 1,528.64 : x
  2. Step 2: Convert to fraction form
    3,476.64/5,215.40 = 1,528.64/x
  3. Step 3: Cross multiply
    3,476.64x = 5,215.40 × 1,528.64
  4. Step 4: Simplify right side
    3,476.64x = 7,972,469.06
  5. Step 5: Solve for x
    x = 7,972,469.06/3,476.64
  6. Step 6: Final answer
    x = 2,293.15

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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.