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Finding the Fourth Proportional to 4,681.98, 7,012.62 and 3,033.54

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Solution

The fourth proportional to 4,681.98, 7,012.62 and 3,033.54 is: 4,543.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,681.98 : 7,012.62 = 3,033.54 : x
  2. Step 2: Convert to fraction form
    4,681.98/7,012.62 = 3,033.54/x
  3. Step 3: Cross multiply
    4,681.98x = 7,012.62 × 3,033.54
  4. Step 4: Simplify right side
    4,681.98x = 21,273,063.27
  5. Step 5: Solve for x
    x = 21,273,063.27/4,681.98
  6. Step 6: Final answer
    x = 4,543.60

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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.