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Finding the Fourth Proportional to 4,243.34, 5,858.14 and 2,828.94

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Solution

The fourth proportional to 4,243.34, 5,858.14 and 2,828.94 is: 3,905.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,243.34 : 5,858.14 = 2,828.94 : x
  2. Step 2: Convert to fraction form
    4,243.34/5,858.14 = 2,828.94/x
  3. Step 3: Cross multiply
    4,243.34x = 5,858.14 × 2,828.94
  4. Step 4: Simplify right side
    4,243.34x = 16,572,326.57
  5. Step 5: Solve for x
    x = 16,572,326.57/4,243.34
  6. Step 6: Final answer
    x = 3,905.49

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