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Finding the Fourth Proportional to 4,377.42, 5,997 and 4,210.98

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Solution

The fourth proportional to 4,377.42, 5,997 and 4,210.98 is: 5,768.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,377.42 : 5,997 = 4,210.98 : x
  2. Step 2: Convert to fraction form
    4,377.42/5,997 = 4,210.98/x
  3. Step 3: Cross multiply
    4,377.42x = 5,997 × 4,210.98
  4. Step 4: Simplify right side
    4,377.42x = 25,253,247.06
  5. Step 5: Solve for x
    x = 25,253,247.06/4,377.42
  6. Step 6: Final answer
    x = 5,768.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.