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Finding the Fourth Proportional to 3,783.44, 5,675.22 and 1,929.32

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Solution

The fourth proportional to 3,783.44, 5,675.22 and 1,929.32 is: 2,894.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.44 : 5,675.22 = 1,929.32 : x
  2. Step 2: Convert to fraction form
    3,783.44/5,675.22 = 1,929.32/x
  3. Step 3: Cross multiply
    3,783.44x = 5,675.22 × 1,929.32
  4. Step 4: Simplify right side
    3,783.44x = 10,949,315.45
  5. Step 5: Solve for x
    x = 10,949,315.45/3,783.44
  6. Step 6: Final answer
    x = 2,894.01

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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.