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Finding the Fourth Proportional to 3,408.11, 4,702.97 and 1,916.00

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Solution

The fourth proportional to 3,408.11, 4,702.97 and 1,916.00 is: 2,643.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.11 : 4,702.97 = 1,916.00 : x
  2. Step 2: Convert to fraction form
    3,408.11/4,702.97 = 1,916.00/x
  3. Step 3: Cross multiply
    3,408.11x = 4,702.97 × 1,916.00
  4. Step 4: Simplify right side
    3,408.11x = 9,010,907.07
  5. Step 5: Solve for x
    x = 9,010,907.07/3,408.11
  6. Step 6: Final answer
    x = 2,643.96

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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.