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Finding the Fourth Proportional to 3,763.84, 5,643.86 and 2,204.34

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Solution

The fourth proportional to 3,763.84, 5,643.86 and 2,204.34 is: 3,305.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.84 : 5,643.86 = 2,204.34 : x
  2. Step 2: Convert to fraction form
    3,763.84/5,643.86 = 2,204.34/x
  3. Step 3: Cross multiply
    3,763.84x = 5,643.86 × 2,204.34
  4. Step 4: Simplify right side
    3,763.84x = 12,440,991.86
  5. Step 5: Solve for x
    x = 12,440,991.86/3,763.84
  6. Step 6: Final answer
    x = 3,305.40

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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.