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Finding the Fourth Proportional to 5,941.60, 8,200 and 4,446.88

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Solution

The fourth proportional to 5,941.60, 8,200 and 4,446.88 is: 6,137.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,941.60 : 8,200 = 4,446.88 : x
  2. Step 2: Convert to fraction form
    5,941.60/8,200 = 4,446.88/x
  3. Step 3: Cross multiply
    5,941.60x = 8,200 × 4,446.88
  4. Step 4: Simplify right side
    5,941.60x = 36,464,416
  5. Step 5: Solve for x
    x = 36,464,416/5,941.60
  6. Step 6: Final answer
    x = 6,137.14

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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.