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Finding the Fourth Proportional to 3,543.42, 5,325.94 and 3,460.26

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Solution

The fourth proportional to 3,543.42, 5,325.94 and 3,460.26 is: 5,200.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543.42 : 5,325.94 = 3,460.26 : x
  2. Step 2: Convert to fraction form
    3,543.42/5,325.94 = 3,460.26/x
  3. Step 3: Cross multiply
    3,543.42x = 5,325.94 × 3,460.26
  4. Step 4: Simplify right side
    3,543.42x = 18,429,137.14
  5. Step 5: Solve for x
    x = 18,429,137.14/3,543.42
  6. Step 6: Final answer
    x = 5,200.95

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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.