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Finding the Fourth Proportional to 4,620.04, 6,378.04 and 3,206.18

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Solution

The fourth proportional to 4,620.04, 6,378.04 and 3,206.18 is: 4,426.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,620.04 : 6,378.04 = 3,206.18 : x
  2. Step 2: Convert to fraction form
    4,620.04/6,378.04 = 3,206.18/x
  3. Step 3: Cross multiply
    4,620.04x = 6,378.04 × 3,206.18
  4. Step 4: Simplify right side
    4,620.04x = 20,449,164.24
  5. Step 5: Solve for x
    x = 20,449,164.24/4,620.04
  6. Step 6: Final answer
    x = 4,426.19

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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.