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Finding the Fourth Proportional to 5,577.84, 8,366.82 and 1,682.28

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Solution

The fourth proportional to 5,577.84, 8,366.82 and 1,682.28 is: 2,523.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,577.84 : 8,366.82 = 1,682.28 : x
  2. Step 2: Convert to fraction form
    5,577.84/8,366.82 = 1,682.28/x
  3. Step 3: Cross multiply
    5,577.84x = 8,366.82 × 1,682.28
  4. Step 4: Simplify right side
    5,577.84x = 14,075,333.95
  5. Step 5: Solve for x
    x = 14,075,333.95/5,577.84
  6. Step 6: Final answer
    x = 2,523.44

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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.