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Finding the Fourth Proportional to 3,574.73, 5,368.03 and 2,412.21

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Solution

The fourth proportional to 3,574.73, 5,368.03 and 2,412.21 is: 3,622.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.73 : 5,368.03 = 2,412.21 : x
  2. Step 2: Convert to fraction form
    3,574.73/5,368.03 = 2,412.21/x
  3. Step 3: Cross multiply
    3,574.73x = 5,368.03 × 2,412.21
  4. Step 4: Simplify right side
    3,574.73x = 12,948,815.65
  5. Step 5: Solve for x
    x = 12,948,815.65/3,574.73
  6. Step 6: Final answer
    x = 3,622.32

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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.