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Finding the Fourth Proportional to 4,947.32, 6,829.44 and 3,692.36

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Solution

The fourth proportional to 4,947.32, 6,829.44 and 3,692.36 is: 5,097.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,947.32 : 6,829.44 = 3,692.36 : x
  2. Step 2: Convert to fraction form
    4,947.32/6,829.44 = 3,692.36/x
  3. Step 3: Cross multiply
    4,947.32x = 6,829.44 × 3,692.36
  4. Step 4: Simplify right side
    4,947.32x = 25,216,751.08
  5. Step 5: Solve for x
    x = 25,216,751.08/4,947.32
  6. Step 6: Final answer
    x = 5,097.05

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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.