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Finding the Fourth Proportional to 4,762, 7,143 and 1,684

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Solution

The fourth proportional to 4,762, 7,143 and 1,684 is: 2,526

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762 : 7,143 = 1,684 : x
  2. Step 2: Convert to fraction form
    4,762/7,143 = 1,684/x
  3. Step 3: Cross multiply
    4,762x = 7,143 × 1,684
  4. Step 4: Simplify right side
    4,762x = 12,028,812
  5. Step 5: Solve for x
    x = 12,028,812/4,762
  6. Step 6: Final answer
    x = 2,526

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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.