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Finding the Fourth Proportional to 4,625.34, 6,941.43 and 3,395.94

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Solution

The fourth proportional to 4,625.34, 6,941.43 and 3,395.94 is: 5,096.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,625.34 : 6,941.43 = 3,395.94 : x
  2. Step 2: Convert to fraction form
    4,625.34/6,941.43 = 3,395.94/x
  3. Step 3: Cross multiply
    4,625.34x = 6,941.43 × 3,395.94
  4. Step 4: Simplify right side
    4,625.34x = 23,572,679.79
  5. Step 5: Solve for x
    x = 23,572,679.79/4,625.34
  6. Step 6: Final answer
    x = 5,096.42

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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.