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Finding the Fourth Proportional to 4,726.54, 7,072.80 and 2,878.12

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Solution

The fourth proportional to 4,726.54, 7,072.80 and 2,878.12 is: 4,306.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,726.54 : 7,072.80 = 2,878.12 : x
  2. Step 2: Convert to fraction form
    4,726.54/7,072.80 = 2,878.12/x
  3. Step 3: Cross multiply
    4,726.54x = 7,072.80 × 2,878.12
  4. Step 4: Simplify right side
    4,726.54x = 20,356,367.14
  5. Step 5: Solve for x
    x = 20,356,367.14/4,726.54
  6. Step 6: Final answer
    x = 4,306.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.