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Finding the Fourth Proportional to 3,641.63, 5,454.44 and 3,009.77

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Solution

The fourth proportional to 3,641.63, 5,454.44 and 3,009.77 is: 4,508.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.63 : 5,454.44 = 3,009.77 : x
  2. Step 2: Convert to fraction form
    3,641.63/5,454.44 = 3,009.77/x
  3. Step 3: Cross multiply
    3,641.63x = 5,454.44 × 3,009.77
  4. Step 4: Simplify right side
    3,641.63x = 16,416,599.30
  5. Step 5: Solve for x
    x = 16,416,599.30/3,641.63
  6. Step 6: Final answer
    x = 4,508.04

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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.