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Finding the Fourth Proportional to 4,969.80, 7,448.30 and 3,809.80

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Solution

The fourth proportional to 4,969.80, 7,448.30 and 3,809.80 is: 5,709.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.80 : 7,448.30 = 3,809.80 : x
  2. Step 2: Convert to fraction form
    4,969.80/7,448.30 = 3,809.80/x
  3. Step 3: Cross multiply
    4,969.80x = 7,448.30 × 3,809.80
  4. Step 4: Simplify right side
    4,969.80x = 28,376,533.34
  5. Step 5: Solve for x
    x = 28,376,533.34/4,969.80
  6. Step 6: Final answer
    x = 5,709.79

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1.5x scale

Why These Related Problems?

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