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Finding the Fourth Proportional to 5,472.38, 8,208.70 and 1,774.64

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Solution

The fourth proportional to 5,472.38, 8,208.70 and 1,774.64 is: 2,662.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,472.38 : 8,208.70 = 1,774.64 : x
  2. Step 2: Convert to fraction form
    5,472.38/8,208.70 = 1,774.64/x
  3. Step 3: Cross multiply
    5,472.38x = 8,208.70 × 1,774.64
  4. Step 4: Simplify right side
    5,472.38x = 14,567,487.37
  5. Step 5: Solve for x
    x = 14,567,487.37/5,472.38
  6. Step 6: Final answer
    x = 2,662.00

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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.