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Finding the Fourth Proportional to 5,577.68, 8,367.16 and 1,682.32

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Solution

The fourth proportional to 5,577.68, 8,367.16 and 1,682.32 is: 2,523.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,577.68 : 8,367.16 = 1,682.32 : x
  2. Step 2: Convert to fraction form
    5,577.68/8,367.16 = 1,682.32/x
  3. Step 3: Cross multiply
    5,577.68x = 8,367.16 × 1,682.32
  4. Step 4: Simplify right side
    5,577.68x = 14,076,240.61
  5. Step 5: Solve for x
    x = 14,076,240.61/5,577.68
  6. Step 6: Final answer
    x = 2,523.67

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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.