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Finding the Fourth Proportional to 3,876.61, 5,348.06 and 3,033.93

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Solution

The fourth proportional to 3,876.61, 5,348.06 and 3,033.93 is: 4,185.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.61 : 5,348.06 = 3,033.93 : x
  2. Step 2: Convert to fraction form
    3,876.61/5,348.06 = 3,033.93/x
  3. Step 3: Cross multiply
    3,876.61x = 5,348.06 × 3,033.93
  4. Step 4: Simplify right side
    3,876.61x = 16,225,653.70
  5. Step 5: Solve for x
    x = 16,225,653.70/3,876.61
  6. Step 6: Final answer
    x = 4,185.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.