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Finding the Fourth Proportional to 4,464.75, 6,696.21 and 1,543.89

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Solution

The fourth proportional to 4,464.75, 6,696.21 and 1,543.89 is: 2,315.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,464.75 : 6,696.21 = 1,543.89 : x
  2. Step 2: Convert to fraction form
    4,464.75/6,696.21 = 1,543.89/x
  3. Step 3: Cross multiply
    4,464.75x = 6,696.21 × 1,543.89
  4. Step 4: Simplify right side
    4,464.75x = 10,338,211.66
  5. Step 5: Solve for x
    x = 10,338,211.66/4,464.75
  6. Step 6: Final answer
    x = 2,315.52

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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.