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Finding the Fourth Proportional to 4,467.68, 6,164.66 and 2,477.92

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Solution

The fourth proportional to 4,467.68, 6,164.66 and 2,477.92 is: 3,419.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,467.68 : 6,164.66 = 2,477.92 : x
  2. Step 2: Convert to fraction form
    4,467.68/6,164.66 = 2,477.92/x
  3. Step 3: Cross multiply
    4,467.68x = 6,164.66 × 2,477.92
  4. Step 4: Simplify right side
    4,467.68x = 15,275,534.31
  5. Step 5: Solve for x
    x = 15,275,534.31/4,467.68
  6. Step 6: Final answer
    x = 3,419.12

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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.