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Finding the Fourth Proportional to 4,168.34, 5,752.05 and 2,305.34

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Solution

The fourth proportional to 4,168.34, 5,752.05 and 2,305.34 is: 3,181.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,168.34 : 5,752.05 = 2,305.34 : x
  2. Step 2: Convert to fraction form
    4,168.34/5,752.05 = 2,305.34/x
  3. Step 3: Cross multiply
    4,168.34x = 5,752.05 × 2,305.34
  4. Step 4: Simplify right side
    4,168.34x = 13,260,430.95
  5. Step 5: Solve for x
    x = 13,260,430.95/4,168.34
  6. Step 6: Final answer
    x = 3,181.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.