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Finding the Fourth Proportional to 3,412.44, 5,117.71 and 1,464.18

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Solution

The fourth proportional to 3,412.44, 5,117.71 and 1,464.18 is: 2,195.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.44 : 5,117.71 = 1,464.18 : x
  2. Step 2: Convert to fraction form
    3,412.44/5,117.71 = 1,464.18/x
  3. Step 3: Cross multiply
    3,412.44x = 5,117.71 × 1,464.18
  4. Step 4: Simplify right side
    3,412.44x = 7,493,248.63
  5. Step 5: Solve for x
    x = 7,493,248.63/3,412.44
  6. Step 6: Final answer
    x = 2,195.86

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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.