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Finding the Fourth Proportional to 5,802.75, 8,692.92 and 3,464.63

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Solution

The fourth proportional to 5,802.75, 8,692.92 and 3,464.63 is: 5,190.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.75 : 8,692.92 = 3,464.63 : x
  2. Step 2: Convert to fraction form
    5,802.75/8,692.92 = 3,464.63/x
  3. Step 3: Cross multiply
    5,802.75x = 8,692.92 × 3,464.63
  4. Step 4: Simplify right side
    5,802.75x = 30,117,740.55
  5. Step 5: Solve for x
    x = 30,117,740.55/5,802.75
  6. Step 6: Final answer
    x = 5,190.25

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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.