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Finding the Fourth Proportional to 3,574.87, 4,933.64 and 2,159.26

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Solution

The fourth proportional to 3,574.87, 4,933.64 and 2,159.26 is: 2,979.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.87 : 4,933.64 = 2,159.26 : x
  2. Step 2: Convert to fraction form
    3,574.87/4,933.64 = 2,159.26/x
  3. Step 3: Cross multiply
    3,574.87x = 4,933.64 × 2,159.26
  4. Step 4: Simplify right side
    3,574.87x = 10,653,004.57
  5. Step 5: Solve for x
    x = 10,653,004.57/3,574.87
  6. Step 6: Final answer
    x = 2,979.97

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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.