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Finding the Fourth Proportional to 5,252.05, 7,877.74 and 1,554.31

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Solution

The fourth proportional to 5,252.05, 7,877.74 and 1,554.31 is: 2,331.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252.05 : 7,877.74 = 1,554.31 : x
  2. Step 2: Convert to fraction form
    5,252.05/7,877.74 = 1,554.31/x
  3. Step 3: Cross multiply
    5,252.05x = 7,877.74 × 1,554.31
  4. Step 4: Simplify right side
    5,252.05x = 12,244,450.06
  5. Step 5: Solve for x
    x = 12,244,450.06/5,252.05
  6. Step 6: Final answer
    x = 2,331.37

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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.