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Finding the Fourth Proportional to 5,554.30, 7,665.02 and 3,164.80

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Solution

The fourth proportional to 5,554.30, 7,665.02 and 3,164.80 is: 4,367.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,554.30 : 7,665.02 = 3,164.80 : x
  2. Step 2: Convert to fraction form
    5,554.30/7,665.02 = 3,164.80/x
  3. Step 3: Cross multiply
    5,554.30x = 7,665.02 × 3,164.80
  4. Step 4: Simplify right side
    5,554.30x = 24,258,255.30
  5. Step 5: Solve for x
    x = 24,258,255.30/5,554.30
  6. Step 6: Final answer
    x = 4,367.47

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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.