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Finding the Fourth Proportional to 4,700, 7,050 and 1,622

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Solution

The fourth proportional to 4,700, 7,050 and 1,622 is: 2,433

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,700 : 7,050 = 1,622 : x
  2. Step 2: Convert to fraction form
    4,700/7,050 = 1,622/x
  3. Step 3: Cross multiply
    4,700x = 7,050 × 1,622
  4. Step 4: Simplify right side
    4,700x = 11,435,100
  5. Step 5: Solve for x
    x = 11,435,100/4,700
  6. Step 6: Final answer
    x = 2,433

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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.