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Finding the Fourth Proportional to 4,835.42, 7,281.78 and 4,226.46

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Solution

The fourth proportional to 4,835.42, 7,281.78 and 4,226.46 is: 6,364.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,835.42 : 7,281.78 = 4,226.46 : x
  2. Step 2: Convert to fraction form
    4,835.42/7,281.78 = 4,226.46/x
  3. Step 3: Cross multiply
    4,835.42x = 7,281.78 × 4,226.46
  4. Step 4: Simplify right side
    4,835.42x = 30,776,151.90
  5. Step 5: Solve for x
    x = 30,776,151.90/4,835.42
  6. Step 6: Final answer
    x = 6,364.73

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.