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Finding the Fourth Proportional to 4,933.50, 7,401.42 and 1,470.84

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Solution

The fourth proportional to 4,933.50, 7,401.42 and 1,470.84 is: 2,206.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,933.50 : 7,401.42 = 1,470.84 : x
  2. Step 2: Convert to fraction form
    4,933.50/7,401.42 = 1,470.84/x
  3. Step 3: Cross multiply
    4,933.50x = 7,401.42 × 1,470.84
  4. Step 4: Simplify right side
    4,933.50x = 10,886,304.59
  5. Step 5: Solve for x
    x = 10,886,304.59/4,933.50
  6. Step 6: Final answer
    x = 2,206.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.