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Finding the Fourth Proportional to 4,306.94, 5,934.81 and 4,074.50

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Solution

The fourth proportional to 4,306.94, 5,934.81 and 4,074.50 is: 5,614.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,306.94 : 5,934.81 = 4,074.50 : x
  2. Step 2: Convert to fraction form
    4,306.94/5,934.81 = 4,074.50/x
  3. Step 3: Cross multiply
    4,306.94x = 5,934.81 × 4,074.50
  4. Step 4: Simplify right side
    4,306.94x = 24,181,383.35
  5. Step 5: Solve for x
    x = 24,181,383.35/4,306.94
  6. Step 6: Final answer
    x = 5,614.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.