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Finding the Fourth Proportional to 4,150.84, 5,728.68 and 2,383

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Solution

The fourth proportional to 4,150.84, 5,728.68 and 2,383 is: 3,288.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,150.84 : 5,728.68 = 2,383 : x
  2. Step 2: Convert to fraction form
    4,150.84/5,728.68 = 2,383/x
  3. Step 3: Cross multiply
    4,150.84x = 5,728.68 × 2,383
  4. Step 4: Simplify right side
    4,150.84x = 13,651,444.44
  5. Step 5: Solve for x
    x = 13,651,444.44/4,150.84
  6. Step 6: Final answer
    x = 3,288.84

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Double scale
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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.