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Finding the Fourth Proportional to 4,918.41, 7,380.05 and 4,272.03

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Solution

The fourth proportional to 4,918.41, 7,380.05 and 4,272.03 is: 6,410.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,918.41 : 7,380.05 = 4,272.03 : x
  2. Step 2: Convert to fraction form
    4,918.41/7,380.05 = 4,272.03/x
  3. Step 3: Cross multiply
    4,918.41x = 7,380.05 × 4,272.03
  4. Step 4: Simplify right side
    4,918.41x = 31,527,773.64
  5. Step 5: Solve for x
    x = 31,527,773.64/4,918.41
  6. Step 6: Final answer
    x = 6,410.16

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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.