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Finding the Fourth Proportional to 3,770.34, 5,200.08 and 3,518.82

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Solution

The fourth proportional to 3,770.34, 5,200.08 and 3,518.82 is: 4,853.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.34 : 5,200.08 = 3,518.82 : x
  2. Step 2: Convert to fraction form
    3,770.34/5,200.08 = 3,518.82/x
  3. Step 3: Cross multiply
    3,770.34x = 5,200.08 × 3,518.82
  4. Step 4: Simplify right side
    3,770.34x = 18,298,145.51
  5. Step 5: Solve for x
    x = 18,298,145.51/3,770.34
  6. Step 6: Final answer
    x = 4,853.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.