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Finding the Fourth Proportional to 4,829.64, 7,251.83 and 4,591.80

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Solution

The fourth proportional to 4,829.64, 7,251.83 and 4,591.80 is: 6,894.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,829.64 : 7,251.83 = 4,591.80 : x
  2. Step 2: Convert to fraction form
    4,829.64/7,251.83 = 4,591.80/x
  3. Step 3: Cross multiply
    4,829.64x = 7,251.83 × 4,591.80
  4. Step 4: Simplify right side
    4,829.64x = 33,298,930.04
  5. Step 5: Solve for x
    x = 33,298,930.04/4,829.64
  6. Step 6: Final answer
    x = 6,894.70

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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.