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Finding the Fourth Proportional to 4,692.95, 6,441.77 and 4,149.93

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Solution

The fourth proportional to 4,692.95, 6,441.77 and 4,149.93 is: 5,696.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.95 : 6,441.77 = 4,149.93 : x
  2. Step 2: Convert to fraction form
    4,692.95/6,441.77 = 4,149.93/x
  3. Step 3: Cross multiply
    4,692.95x = 6,441.77 × 4,149.93
  4. Step 4: Simplify right side
    4,692.95x = 26,732,894.58
  5. Step 5: Solve for x
    x = 26,732,894.58/4,692.95
  6. Step 6: Final answer
    x = 5,696.39

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.