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Finding the Fourth Proportional to 4,054.47, 6,072.47 and 2,822.80

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Solution

The fourth proportional to 4,054.47, 6,072.47 and 2,822.80 is: 4,227.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,054.47 : 6,072.47 = 2,822.80 : x
  2. Step 2: Convert to fraction form
    4,054.47/6,072.47 = 2,822.80/x
  3. Step 3: Cross multiply
    4,054.47x = 6,072.47 × 2,822.80
  4. Step 4: Simplify right side
    4,054.47x = 17,141,368.32
  5. Step 5: Solve for x
    x = 17,141,368.32/4,054.47
  6. Step 6: Final answer
    x = 4,227.77

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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.