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Finding the Fourth Proportional to 3,641.45, 5,464.13 and 2,821.32

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Solution

The fourth proportional to 3,641.45, 5,464.13 and 2,821.32 is: 4,233.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.45 : 5,464.13 = 2,821.32 : x
  2. Step 2: Convert to fraction form
    3,641.45/5,464.13 = 2,821.32/x
  3. Step 3: Cross multiply
    3,641.45x = 5,464.13 × 2,821.32
  4. Step 4: Simplify right side
    3,641.45x = 15,416,045.15
  5. Step 5: Solve for x
    x = 15,416,045.15/3,641.45
  6. Step 6: Final answer
    x = 4,233.50

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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.