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Finding the Fourth Proportional to 3,886.56, 5,829.93 and 964.89

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Solution

The fourth proportional to 3,886.56, 5,829.93 and 964.89 is: 1,447.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.56 : 5,829.93 = 964.89 : x
  2. Step 2: Convert to fraction form
    3,886.56/5,829.93 = 964.89/x
  3. Step 3: Cross multiply
    3,886.56x = 5,829.93 × 964.89
  4. Step 4: Simplify right side
    3,886.56x = 5,625,241.16
  5. Step 5: Solve for x
    x = 5,625,241.16/3,886.56
  6. Step 6: Final answer
    x = 1,447.36

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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.