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Finding the Fourth Proportional to 3,658.42, 5,482.84 and 1,468.69

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Solution

The fourth proportional to 3,658.42, 5,482.84 and 1,468.69 is: 2,201.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.42 : 5,482.84 = 1,468.69 : x
  2. Step 2: Convert to fraction form
    3,658.42/5,482.84 = 1,468.69/x
  3. Step 3: Cross multiply
    3,658.42x = 5,482.84 × 1,468.69
  4. Step 4: Simplify right side
    3,658.42x = 8,052,572.88
  5. Step 5: Solve for x
    x = 8,052,572.88/3,658.42
  6. Step 6: Final answer
    x = 2,201.11

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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.