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Finding the Fourth Proportional to 3,794.45, 5,692.62 and 1,058.45

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Solution

The fourth proportional to 3,794.45, 5,692.62 and 1,058.45 is: 1,587.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.45 : 5,692.62 = 1,058.45 : x
  2. Step 2: Convert to fraction form
    3,794.45/5,692.62 = 1,058.45/x
  3. Step 3: Cross multiply
    3,794.45x = 5,692.62 × 1,058.45
  4. Step 4: Simplify right side
    3,794.45x = 6,025,325.18
  5. Step 5: Solve for x
    x = 6,025,325.18/3,794.45
  6. Step 6: Final answer
    x = 1,587.93

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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.