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Finding the Fourth Proportional to 6,129.12, 8,457.24 and 3,476.40

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Solution

The fourth proportional to 6,129.12, 8,457.24 and 3,476.40 is: 4,796.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,129.12 : 8,457.24 = 3,476.40 : x
  2. Step 2: Convert to fraction form
    6,129.12/8,457.24 = 3,476.40/x
  3. Step 3: Cross multiply
    6,129.12x = 8,457.24 × 3,476.40
  4. Step 4: Simplify right side
    6,129.12x = 29,400,749.14
  5. Step 5: Solve for x
    x = 29,400,749.14/6,129.12
  6. Step 6: Final answer
    x = 4,796.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.