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Finding the Fourth Proportional to 5,554.71, 7,665.50 and 3,164.61

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Solution

The fourth proportional to 5,554.71, 7,665.50 and 3,164.61 is: 4,367.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,554.71 : 7,665.50 = 3,164.61 : x
  2. Step 2: Convert to fraction form
    5,554.71/7,665.50 = 3,164.61/x
  3. Step 3: Cross multiply
    5,554.71x = 7,665.50 × 3,164.61
  4. Step 4: Simplify right side
    5,554.71x = 24,258,354.61
  5. Step 5: Solve for x
    x = 24,258,354.61/5,554.71
  6. Step 6: Final answer
    x = 4,367.17

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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.