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Finding the Fourth Proportional to 3,470.84, 4,782.67 and 2,474.00

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Solution

The fourth proportional to 3,470.84, 4,782.67 and 2,474.00 is: 3,409.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.84 : 4,782.67 = 2,474.00 : x
  2. Step 2: Convert to fraction form
    3,470.84/4,782.67 = 2,474.00/x
  3. Step 3: Cross multiply
    3,470.84x = 4,782.67 × 2,474.00
  4. Step 4: Simplify right side
    3,470.84x = 11,832,289.30
  5. Step 5: Solve for x
    x = 11,832,289.30/3,470.84
  6. Step 6: Final answer
    x = 3,409.06

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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.