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Finding the Fourth Proportional to 3,763.04, 5,641.68 and 1,456.48

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Solution

The fourth proportional to 3,763.04, 5,641.68 and 1,456.48 is: 2,183.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.04 : 5,641.68 = 1,456.48 : x
  2. Step 2: Convert to fraction form
    3,763.04/5,641.68 = 1,456.48/x
  3. Step 3: Cross multiply
    3,763.04x = 5,641.68 × 1,456.48
  4. Step 4: Simplify right side
    3,763.04x = 8,216,994.09
  5. Step 5: Solve for x
    x = 8,216,994.09/3,763.04
  6. Step 6: Final answer
    x = 2,183.61

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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.