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Finding the Fourth Proportional to 3,574.41, 5,361.64 and 1,467.19

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Solution

The fourth proportional to 3,574.41, 5,361.64 and 1,467.19 is: 2,200.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.41 : 5,361.64 = 1,467.19 : x
  2. Step 2: Convert to fraction form
    3,574.41/5,361.64 = 1,467.19/x
  3. Step 3: Cross multiply
    3,574.41x = 5,361.64 × 1,467.19
  4. Step 4: Simplify right side
    3,574.41x = 7,866,547.63
  5. Step 5: Solve for x
    x = 7,866,547.63/3,574.41
  6. Step 6: Final answer
    x = 2,200.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.