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Finding the Fourth Proportional to 3,125.75, 4,313.54 and 1,728.50

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Solution

The fourth proportional to 3,125.75, 4,313.54 and 1,728.50 is: 2,385.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,125.75 : 4,313.54 = 1,728.50 : x
  2. Step 2: Convert to fraction form
    3,125.75/4,313.54 = 1,728.50/x
  3. Step 3: Cross multiply
    3,125.75x = 4,313.54 × 1,728.50
  4. Step 4: Simplify right side
    3,125.75x = 7,455,953.89
  5. Step 5: Solve for x
    x = 7,455,953.89/3,125.75
  6. Step 6: Final answer
    x = 2,385.33

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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.