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Finding the Fourth Proportional to 4,624.96, 6,381.90 and 2,635.42

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Solution

The fourth proportional to 4,624.96, 6,381.90 and 2,635.42 is: 3,636.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,624.96 : 6,381.90 = 2,635.42 : x
  2. Step 2: Convert to fraction form
    4,624.96/6,381.90 = 2,635.42/x
  3. Step 3: Cross multiply
    4,624.96x = 6,381.90 × 2,635.42
  4. Step 4: Simplify right side
    4,624.96x = 16,818,986.90
  5. Step 5: Solve for x
    x = 16,818,986.90/4,624.96
  6. Step 6: Final answer
    x = 3,636.57

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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.