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Finding the Fourth Proportional to 4,622.96, 6,938.07 and 2,156.51

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Solution

The fourth proportional to 4,622.96, 6,938.07 and 2,156.51 is: 3,236.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,622.96 : 6,938.07 = 2,156.51 : x
  2. Step 2: Convert to fraction form
    4,622.96/6,938.07 = 2,156.51/x
  3. Step 3: Cross multiply
    4,622.96x = 6,938.07 × 2,156.51
  4. Step 4: Simplify right side
    4,622.96x = 14,961,982.65
  5. Step 5: Solve for x
    x = 14,961,982.65/4,622.96
  6. Step 6: Final answer
    x = 3,236.45

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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.