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Finding the Fourth Proportional to 3,522.84, 4,859.40 and 2,327.86

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Solution

The fourth proportional to 3,522.84, 4,859.40 and 2,327.86 is: 3,211.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522.84 : 4,859.40 = 2,327.86 : x
  2. Step 2: Convert to fraction form
    3,522.84/4,859.40 = 2,327.86/x
  3. Step 3: Cross multiply
    3,522.84x = 4,859.40 × 2,327.86
  4. Step 4: Simplify right side
    3,522.84x = 11,312,002.88
  5. Step 5: Solve for x
    x = 11,312,002.88/3,522.84
  6. Step 6: Final answer
    x = 3,211.05

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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.