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Finding the Fourth Proportional to 4,677.78, 7,021.08 and 3,441.42

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Solution

The fourth proportional to 4,677.78, 7,021.08 and 3,441.42 is: 5,165.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.78 : 7,021.08 = 3,441.42 : x
  2. Step 2: Convert to fraction form
    4,677.78/7,021.08 = 3,441.42/x
  3. Step 3: Cross multiply
    4,677.78x = 7,021.08 × 3,441.42
  4. Step 4: Simplify right side
    4,677.78x = 24,162,485.13
  5. Step 5: Solve for x
    x = 24,162,485.13/4,677.78
  6. Step 6: Final answer
    x = 5,165.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.