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Finding the Fourth Proportional to 3,796.32, 5,693.04 and 2,154

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Solution

The fourth proportional to 3,796.32, 5,693.04 and 2,154 is: 3,230.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.32 : 5,693.04 = 2,154 : x
  2. Step 2: Convert to fraction form
    3,796.32/5,693.04 = 2,154/x
  3. Step 3: Cross multiply
    3,796.32x = 5,693.04 × 2,154
  4. Step 4: Simplify right side
    3,796.32x = 12,262,808.16
  5. Step 5: Solve for x
    x = 12,262,808.16/3,796.32
  6. Step 6: Final answer
    x = 3,230.18

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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.