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Finding the Fourth Proportional to 4,614.42, 6,915.15 and 3,460.98

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Solution

The fourth proportional to 4,614.42, 6,915.15 and 3,460.98 is: 5,186.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,614.42 : 6,915.15 = 3,460.98 : x
  2. Step 2: Convert to fraction form
    4,614.42/6,915.15 = 3,460.98/x
  3. Step 3: Cross multiply
    4,614.42x = 6,915.15 × 3,460.98
  4. Step 4: Simplify right side
    4,614.42x = 23,933,195.85
  5. Step 5: Solve for x
    x = 23,933,195.85/4,614.42
  6. Step 6: Final answer
    x = 5,186.61

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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.