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Finding the Fourth Proportional to 3,574.51, 5,363.43 and 1,382.68

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Solution

The fourth proportional to 3,574.51, 5,363.43 and 1,382.68 is: 2,074.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.51 : 5,363.43 = 1,382.68 : x
  2. Step 2: Convert to fraction form
    3,574.51/5,363.43 = 1,382.68/x
  3. Step 3: Cross multiply
    3,574.51x = 5,363.43 × 1,382.68
  4. Step 4: Simplify right side
    3,574.51x = 7,415,907.39
  5. Step 5: Solve for x
    x = 7,415,907.39/3,574.51
  6. Step 6: Final answer
    x = 2,074.66

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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.