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Finding the Fourth Proportional to 4,244.64, 5,855.60 and 2,829

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Solution

The fourth proportional to 4,244.64, 5,855.60 and 2,829 is: 3,902.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,244.64 : 5,855.60 = 2,829 : x
  2. Step 2: Convert to fraction form
    4,244.64/5,855.60 = 2,829/x
  3. Step 3: Cross multiply
    4,244.64x = 5,855.60 × 2,829
  4. Step 4: Simplify right side
    4,244.64x = 16,565,492.40
  5. Step 5: Solve for x
    x = 16,565,492.40/4,244.64
  6. Step 6: Final answer
    x = 3,902.68

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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.