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Finding the Fourth Proportional to 4,544.43, 6,820.74 and 1,913.88

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Solution

The fourth proportional to 4,544.43, 6,820.74 and 1,913.88 is: 2,872.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,544.43 : 6,820.74 = 1,913.88 : x
  2. Step 2: Convert to fraction form
    4,544.43/6,820.74 = 1,913.88/x
  3. Step 3: Cross multiply
    4,544.43x = 6,820.74 × 1,913.88
  4. Step 4: Simplify right side
    4,544.43x = 13,054,068.30
  5. Step 5: Solve for x
    x = 13,054,068.30/4,544.43
  6. Step 6: Final answer
    x = 2,872.54

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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.