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Finding the Fourth Proportional to 5,776.02, 7,964.88 and 4,286.88

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Solution

The fourth proportional to 5,776.02, 7,964.88 and 4,286.88 is: 5,911.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,776.02 : 7,964.88 = 4,286.88 : x
  2. Step 2: Convert to fraction form
    5,776.02/7,964.88 = 4,286.88/x
  3. Step 3: Cross multiply
    5,776.02x = 7,964.88 × 4,286.88
  4. Step 4: Simplify right side
    5,776.02x = 34,144,484.77
  5. Step 5: Solve for x
    x = 34,144,484.77/5,776.02
  6. Step 6: Final answer
    x = 5,911.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.