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Finding the Fourth Proportional to 4,120.46, 6,213.01 and 3,776

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Solution

The fourth proportional to 4,120.46, 6,213.01 and 3,776 is: 5,693.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,120.46 : 6,213.01 = 3,776 : x
  2. Step 2: Convert to fraction form
    4,120.46/6,213.01 = 3,776/x
  3. Step 3: Cross multiply
    4,120.46x = 6,213.01 × 3,776
  4. Step 4: Simplify right side
    4,120.46x = 23,460,306.88
  5. Step 5: Solve for x
    x = 23,460,306.88/4,120.46
  6. Step 6: Final answer
    x = 5,693.62

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.