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Finding the Fourth Proportional to 4,684.81, 6,470.36 and 3,190.14

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Solution

The fourth proportional to 4,684.81, 6,470.36 and 3,190.14 is: 4,406.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,684.81 : 6,470.36 = 3,190.14 : x
  2. Step 2: Convert to fraction form
    4,684.81/6,470.36 = 3,190.14/x
  3. Step 3: Cross multiply
    4,684.81x = 6,470.36 × 3,190.14
  4. Step 4: Simplify right side
    4,684.81x = 20,641,305.95
  5. Step 5: Solve for x
    x = 20,641,305.95/4,684.81
  6. Step 6: Final answer
    x = 4,406.00

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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.