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Finding the Fourth Proportional to 4,811.42, 7,223.36 and 4,614

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Solution

The fourth proportional to 4,811.42, 7,223.36 and 4,614 is: 6,926.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,811.42 : 7,223.36 = 4,614 : x
  2. Step 2: Convert to fraction form
    4,811.42/7,223.36 = 4,614/x
  3. Step 3: Cross multiply
    4,811.42x = 7,223.36 × 4,614
  4. Step 4: Simplify right side
    4,811.42x = 33,328,559.97
  5. Step 5: Solve for x
    x = 33,328,559.97/4,811.42
  6. Step 6: Final answer
    x = 6,926.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.