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Finding the Fourth Proportional to 5,035.35, 6,978.23 and 4,964.88

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Solution

The fourth proportional to 5,035.35, 6,978.23 and 4,964.88 is: 6,880.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,035.35 : 6,978.23 = 4,964.88 : x
  2. Step 2: Convert to fraction form
    5,035.35/6,978.23 = 4,964.88/x
  3. Step 3: Cross multiply
    5,035.35x = 6,978.23 × 4,964.88
  4. Step 4: Simplify right side
    5,035.35x = 34,646,049.74
  5. Step 5: Solve for x
    x = 34,646,049.74/5,035.35
  6. Step 6: Final answer
    x = 6,880.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.