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Finding the Fourth Proportional to 4,614.95, 6,918.27 and 1,692.57

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Solution

The fourth proportional to 4,614.95, 6,918.27 and 1,692.57 is: 2,537.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,614.95 : 6,918.27 = 1,692.57 : x
  2. Step 2: Convert to fraction form
    4,614.95/6,918.27 = 1,692.57/x
  3. Step 3: Cross multiply
    4,614.95x = 6,918.27 × 1,692.57
  4. Step 4: Simplify right side
    4,614.95x = 11,709,656.25
  5. Step 5: Solve for x
    x = 11,709,656.25/4,614.95
  6. Step 6: Final answer
    x = 2,537.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.