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Finding the Fourth Proportional to 3,284.57, 4,930.76 and 2,591.74

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Solution

The fourth proportional to 3,284.57, 4,930.76 and 2,591.74 is: 3,890.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,284.57 : 4,930.76 = 2,591.74 : x
  2. Step 2: Convert to fraction form
    3,284.57/4,930.76 = 2,591.74/x
  3. Step 3: Cross multiply
    3,284.57x = 4,930.76 × 2,591.74
  4. Step 4: Simplify right side
    3,284.57x = 12,779,232.36
  5. Step 5: Solve for x
    x = 12,779,232.36/3,284.57
  6. Step 6: Final answer
    x = 3,890.68

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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.