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Finding the Fourth Proportional to 3,885.76, 5,828.56 and 964.08

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Solution

The fourth proportional to 3,885.76, 5,828.56 and 964.08 is: 1,446.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.76 : 5,828.56 = 964.08 : x
  2. Step 2: Convert to fraction form
    3,885.76/5,828.56 = 964.08/x
  3. Step 3: Cross multiply
    3,885.76x = 5,828.56 × 964.08
  4. Step 4: Simplify right side
    3,885.76x = 5,619,198.12
  5. Step 5: Solve for x
    x = 5,619,198.12/3,885.76
  6. Step 6: Final answer
    x = 1,446.10

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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.