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Finding the Fourth Proportional to 4,505.68, 6,224.52 and 4,471.12

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Solution

The fourth proportional to 4,505.68, 6,224.52 and 4,471.12 is: 6,176.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,505.68 : 6,224.52 = 4,471.12 : x
  2. Step 2: Convert to fraction form
    4,505.68/6,224.52 = 4,471.12/x
  3. Step 3: Cross multiply
    4,505.68x = 6,224.52 × 4,471.12
  4. Step 4: Simplify right side
    4,505.68x = 27,830,575.86
  5. Step 5: Solve for x
    x = 27,830,575.86/4,505.68
  6. Step 6: Final answer
    x = 6,176.78

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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.