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Finding the Fourth Proportional to 4,471.48, 6,699.92 and 2,277.19

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Solution

The fourth proportional to 4,471.48, 6,699.92 and 2,277.19 is: 3,412.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.48 : 6,699.92 = 2,277.19 : x
  2. Step 2: Convert to fraction form
    4,471.48/6,699.92 = 2,277.19/x
  3. Step 3: Cross multiply
    4,471.48x = 6,699.92 × 2,277.19
  4. Step 4: Simplify right side
    4,471.48x = 15,256,979.77
  5. Step 5: Solve for x
    x = 15,256,979.77/4,471.48
  6. Step 6: Final answer
    x = 3,412.07

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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.