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Finding the Fourth Proportional to 3,477.98, 5,204.55 and 3,021.14

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Solution

The fourth proportional to 3,477.98, 5,204.55 and 3,021.14 is: 4,520.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.98 : 5,204.55 = 3,021.14 : x
  2. Step 2: Convert to fraction form
    3,477.98/5,204.55 = 3,021.14/x
  3. Step 3: Cross multiply
    3,477.98x = 5,204.55 × 3,021.14
  4. Step 4: Simplify right side
    3,477.98x = 15,723,674.19
  5. Step 5: Solve for x
    x = 15,723,674.19/3,477.98
  6. Step 6: Final answer
    x = 4,520.92

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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.