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Finding the Fourth Proportional to 4,925.94, 7,384.22 and 3,166

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Solution

The fourth proportional to 4,925.94, 7,384.22 and 3,166 is: 4,745.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,925.94 : 7,384.22 = 3,166 : x
  2. Step 2: Convert to fraction form
    4,925.94/7,384.22 = 3,166/x
  3. Step 3: Cross multiply
    4,925.94x = 7,384.22 × 3,166
  4. Step 4: Simplify right side
    4,925.94x = 23,378,440.52
  5. Step 5: Solve for x
    x = 23,378,440.52/4,925.94
  6. Step 6: Final answer
    x = 4,745.99

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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.