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Finding the Fourth Proportional to 5,277.98, 7,916.42 and 1,381.88

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Solution

The fourth proportional to 5,277.98, 7,916.42 and 1,381.88 is: 2,072.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,277.98 : 7,916.42 = 1,381.88 : x
  2. Step 2: Convert to fraction form
    5,277.98/7,916.42 = 1,381.88/x
  3. Step 3: Cross multiply
    5,277.98x = 7,916.42 × 1,381.88
  4. Step 4: Simplify right side
    5,277.98x = 10,939,542.47
  5. Step 5: Solve for x
    x = 10,939,542.47/5,277.98
  6. Step 6: Final answer
    x = 2,072.68

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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.