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Finding the Fourth Proportional to 3,852.77, 5,780.97 and 3,674.16

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Solution

The fourth proportional to 3,852.77, 5,780.97 and 3,674.16 is: 5,512.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.77 : 5,780.97 = 3,674.16 : x
  2. Step 2: Convert to fraction form
    3,852.77/5,780.97 = 3,674.16/x
  3. Step 3: Cross multiply
    3,852.77x = 5,780.97 × 3,674.16
  4. Step 4: Simplify right side
    3,852.77x = 21,240,208.74
  5. Step 5: Solve for x
    x = 21,240,208.74/3,852.77
  6. Step 6: Final answer
    x = 5,512.98

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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.