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Finding the Fourth Proportional to 4,561.34, 6,842.01 and 3,522.86

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Solution

The fourth proportional to 4,561.34, 6,842.01 and 3,522.86 is: 5,284.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,561.34 : 6,842.01 = 3,522.86 : x
  2. Step 2: Convert to fraction form
    4,561.34/6,842.01 = 3,522.86/x
  3. Step 3: Cross multiply
    4,561.34x = 6,842.01 × 3,522.86
  4. Step 4: Simplify right side
    4,561.34x = 24,103,443.35
  5. Step 5: Solve for x
    x = 24,103,443.35/4,561.34
  6. Step 6: Final answer
    x = 5,284.29

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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.