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Finding the Fourth Proportional to 4,858.63, 6,698.12 and 4,109.58

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Solution

The fourth proportional to 4,858.63, 6,698.12 and 4,109.58 is: 5,665.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,858.63 : 6,698.12 = 4,109.58 : x
  2. Step 2: Convert to fraction form
    4,858.63/6,698.12 = 4,109.58/x
  3. Step 3: Cross multiply
    4,858.63x = 6,698.12 × 4,109.58
  4. Step 4: Simplify right side
    4,858.63x = 27,526,439.44
  5. Step 5: Solve for x
    x = 27,526,439.44/4,858.63
  6. Step 6: Final answer
    x = 5,665.48

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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.