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Finding the Fourth Proportional to 4,681.44, 7,027.04 and 2,837.12

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Solution

The fourth proportional to 4,681.44, 7,027.04 and 2,837.12 is: 4,258.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,681.44 : 7,027.04 = 2,837.12 : x
  2. Step 2: Convert to fraction form
    4,681.44/7,027.04 = 2,837.12/x
  3. Step 3: Cross multiply
    4,681.44x = 7,027.04 × 2,837.12
  4. Step 4: Simplify right side
    4,681.44x = 19,936,555.72
  5. Step 5: Solve for x
    x = 19,936,555.72/4,681.44
  6. Step 6: Final answer
    x = 4,258.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.