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Finding the Fourth Proportional to 3,381.88, 5,072.79 and 916.94

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Solution

The fourth proportional to 3,381.88, 5,072.79 and 916.94 is: 1,375.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,381.88 : 5,072.79 = 916.94 : x
  2. Step 2: Convert to fraction form
    3,381.88/5,072.79 = 916.94/x
  3. Step 3: Cross multiply
    3,381.88x = 5,072.79 × 916.94
  4. Step 4: Simplify right side
    3,381.88x = 4,651,444.06
  5. Step 5: Solve for x
    x = 4,651,444.06/3,381.88
  6. Step 6: Final answer
    x = 1,375.40

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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.