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Finding the Fourth Proportional to 4,930.76, 7,396.14 and 1,643.64

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Solution

The fourth proportional to 4,930.76, 7,396.14 and 1,643.64 is: 2,465.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,930.76 : 7,396.14 = 1,643.64 : x
  2. Step 2: Convert to fraction form
    4,930.76/7,396.14 = 1,643.64/x
  3. Step 3: Cross multiply
    4,930.76x = 7,396.14 × 1,643.64
  4. Step 4: Simplify right side
    4,930.76x = 12,156,591.55
  5. Step 5: Solve for x
    x = 12,156,591.55/4,930.76
  6. Step 6: Final answer
    x = 2,465.46

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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.