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Finding the Fourth Proportional to 3,901, 5,852.14 and 1,304.56

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Solution

The fourth proportional to 3,901, 5,852.14 and 1,304.56 is: 1,957.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,901 : 5,852.14 = 1,304.56 : x
  2. Step 2: Convert to fraction form
    3,901/5,852.14 = 1,304.56/x
  3. Step 3: Cross multiply
    3,901x = 5,852.14 × 1,304.56
  4. Step 4: Simplify right side
    3,901x = 7,634,467.76
  5. Step 5: Solve for x
    x = 7,634,467.76/3,901
  6. Step 6: Final answer
    x = 1,957.05

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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.