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Finding the Fourth Proportional to 4,923.42, 7,393.49 and 3,290.46

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Solution

The fourth proportional to 4,923.42, 7,393.49 and 3,290.46 is: 4,941.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,923.42 : 7,393.49 = 3,290.46 : x
  2. Step 2: Convert to fraction form
    4,923.42/7,393.49 = 3,290.46/x
  3. Step 3: Cross multiply
    4,923.42x = 7,393.49 × 3,290.46
  4. Step 4: Simplify right side
    4,923.42x = 24,327,983.11
  5. Step 5: Solve for x
    x = 24,327,983.11/4,923.42
  6. Step 6: Final answer
    x = 4,941.28

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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.