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Finding the Fourth Proportional to 4,717.44, 6,509.54 and 2,828.64

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Solution

The fourth proportional to 4,717.44, 6,509.54 and 2,828.64 is: 3,903.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,717.44 : 6,509.54 = 2,828.64 : x
  2. Step 2: Convert to fraction form
    4,717.44/6,509.54 = 2,828.64/x
  3. Step 3: Cross multiply
    4,717.44x = 6,509.54 × 2,828.64
  4. Step 4: Simplify right side
    4,717.44x = 18,413,145.23
  5. Step 5: Solve for x
    x = 18,413,145.23/4,717.44
  6. Step 6: Final answer
    x = 3,903.21

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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.