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Finding the Fourth Proportional to 4,615.09, 6,921.04 and 1,327.30

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Solution

The fourth proportional to 4,615.09, 6,921.04 and 1,327.30 is: 1,990.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,615.09 : 6,921.04 = 1,327.30 : x
  2. Step 2: Convert to fraction form
    4,615.09/6,921.04 = 1,327.30/x
  3. Step 3: Cross multiply
    4,615.09x = 6,921.04 × 1,327.30
  4. Step 4: Simplify right side
    4,615.09x = 9,186,296.39
  5. Step 5: Solve for x
    x = 9,186,296.39/4,615.09
  6. Step 6: Final answer
    x = 1,990.49

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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.