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Finding the Fourth Proportional to 4,666.72, 6,435.12 and 4,196.56

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Solution

The fourth proportional to 4,666.72, 6,435.12 and 4,196.56 is: 5,786.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.72 : 6,435.12 = 4,196.56 : x
  2. Step 2: Convert to fraction form
    4,666.72/6,435.12 = 4,196.56/x
  3. Step 3: Cross multiply
    4,666.72x = 6,435.12 × 4,196.56
  4. Step 4: Simplify right side
    4,666.72x = 27,005,367.19
  5. Step 5: Solve for x
    x = 27,005,367.19/4,666.72
  6. Step 6: Final answer
    x = 5,786.80

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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.