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Finding the Fourth Proportional to 3,794.90, 5,692.77 and 1,603.35

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Solution

The fourth proportional to 3,794.90, 5,692.77 and 1,603.35 is: 2,405.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.90 : 5,692.77 = 1,603.35 : x
  2. Step 2: Convert to fraction form
    3,794.90/5,692.77 = 1,603.35/x
  3. Step 3: Cross multiply
    3,794.90x = 5,692.77 × 1,603.35
  4. Step 4: Simplify right side
    3,794.90x = 9,127,502.78
  5. Step 5: Solve for x
    x = 9,127,502.78/3,794.90
  6. Step 6: Final answer
    x = 2,405.21

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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.