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Finding the Fourth Proportional to 4,698.44, 6,486.34 and 3,584.04

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Solution

The fourth proportional to 4,698.44, 6,486.34 and 3,584.04 is: 4,947.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,698.44 : 6,486.34 = 3,584.04 : x
  2. Step 2: Convert to fraction form
    4,698.44/6,486.34 = 3,584.04/x
  3. Step 3: Cross multiply
    4,698.44x = 6,486.34 × 3,584.04
  4. Step 4: Simplify right side
    4,698.44x = 23,247,302.01
  5. Step 5: Solve for x
    x = 23,247,302.01/4,698.44
  6. Step 6: Final answer
    x = 4,947.88

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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.