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Finding the Fourth Proportional to 4,934.42, 7,393.43 and 3,470.50

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Solution

The fourth proportional to 4,934.42, 7,393.43 and 3,470.50 is: 5,199.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,934.42 : 7,393.43 = 3,470.50 : x
  2. Step 2: Convert to fraction form
    4,934.42/7,393.43 = 3,470.50/x
  3. Step 3: Cross multiply
    4,934.42x = 7,393.43 × 3,470.50
  4. Step 4: Simplify right side
    4,934.42x = 25,658,855.62
  5. Step 5: Solve for x
    x = 25,658,855.62/4,934.42
  6. Step 6: Final answer
    x = 5,199.98

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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.