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Finding the Fourth Proportional to 3,125.84, 4,313.72 and 1,728.64

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Solution

The fourth proportional to 3,125.84, 4,313.72 and 1,728.64 is: 2,385.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,125.84 : 4,313.72 = 1,728.64 : x
  2. Step 2: Convert to fraction form
    3,125.84/4,313.72 = 1,728.64/x
  3. Step 3: Cross multiply
    3,125.84x = 4,313.72 × 1,728.64
  4. Step 4: Simplify right side
    3,125.84x = 7,456,868.94
  5. Step 5: Solve for x
    x = 7,456,868.94/3,125.84
  6. Step 6: Final answer
    x = 2,385.56

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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.