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Finding the Fourth Proportional to 4,923.51, 7,377.97 and 4,052.20

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Solution

The fourth proportional to 4,923.51, 7,377.97 and 4,052.20 is: 6,072.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,923.51 : 7,377.97 = 4,052.20 : x
  2. Step 2: Convert to fraction form
    4,923.51/7,377.97 = 4,052.20/x
  3. Step 3: Cross multiply
    4,923.51x = 7,377.97 × 4,052.20
  4. Step 4: Simplify right side
    4,923.51x = 29,896,989.77
  5. Step 5: Solve for x
    x = 29,896,989.77/4,923.51
  6. Step 6: Final answer
    x = 6,072.29

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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.