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Finding the Fourth Proportional to 5,577.32, 7,693.98 and 4,692.80

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Solution

The fourth proportional to 5,577.32, 7,693.98 and 4,692.80 is: 6,473.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,577.32 : 7,693.98 = 4,692.80 : x
  2. Step 2: Convert to fraction form
    5,577.32/7,693.98 = 4,692.80/x
  3. Step 3: Cross multiply
    5,577.32x = 7,693.98 × 4,692.80
  4. Step 4: Simplify right side
    5,577.32x = 36,106,309.34
  5. Step 5: Solve for x
    x = 36,106,309.34/5,577.32
  6. Step 6: Final answer
    x = 6,473.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.