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Finding the Fourth Proportional to 3,886.14, 5,829.13 and 964.41

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Solution

The fourth proportional to 3,886.14, 5,829.13 and 964.41 is: 1,446.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.14 : 5,829.13 = 964.41 : x
  2. Step 2: Convert to fraction form
    3,886.14/5,829.13 = 964.41/x
  3. Step 3: Cross multiply
    3,886.14x = 5,829.13 × 964.41
  4. Step 4: Simplify right side
    3,886.14x = 5,621,671.26
  5. Step 5: Solve for x
    x = 5,621,671.26/3,886.14
  6. Step 6: Final answer
    x = 1,446.60

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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.