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Finding the Fourth Proportional to 5,577.90, 8,366.76 and 1,682.34

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Solution

The fourth proportional to 5,577.90, 8,366.76 and 1,682.34 is: 2,523.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,577.90 : 8,366.76 = 1,682.34 : x
  2. Step 2: Convert to fraction form
    5,577.90/8,366.76 = 1,682.34/x
  3. Step 3: Cross multiply
    5,577.90x = 8,366.76 × 1,682.34
  4. Step 4: Simplify right side
    5,577.90x = 14,075,735.02
  5. Step 5: Solve for x
    x = 14,075,735.02/5,577.90
  6. Step 6: Final answer
    x = 2,523.48

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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.