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Finding the Fourth Proportional to 3,207.36, 4,810.64 and 867.55

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Solution

The fourth proportional to 3,207.36, 4,810.64 and 867.55 is: 1,301.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207.36 : 4,810.64 = 867.55 : x
  2. Step 2: Convert to fraction form
    3,207.36/4,810.64 = 867.55/x
  3. Step 3: Cross multiply
    3,207.36x = 4,810.64 × 867.55
  4. Step 4: Simplify right side
    3,207.36x = 4,173,466.39
  5. Step 5: Solve for x
    x = 4,173,466.39/3,207.36
  6. Step 6: Final answer
    x = 1,301.22

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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.