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Finding the Fourth Proportional to 5,442.35, 8,158.34 and 1,742.19

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Solution

The fourth proportional to 5,442.35, 8,158.34 and 1,742.19 is: 2,611.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,442.35 : 8,158.34 = 1,742.19 : x
  2. Step 2: Convert to fraction form
    5,442.35/8,158.34 = 1,742.19/x
  3. Step 3: Cross multiply
    5,442.35x = 8,158.34 × 1,742.19
  4. Step 4: Simplify right side
    5,442.35x = 14,213,378.36
  5. Step 5: Solve for x
    x = 14,213,378.36/5,442.35
  6. Step 6: Final answer
    x = 2,611.63

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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.