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Finding the Fourth Proportional to 5,892.56, 8,130.64 and 4,005.68

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Solution

The fourth proportional to 5,892.56, 8,130.64 and 4,005.68 is: 5,527.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,892.56 : 8,130.64 = 4,005.68 : x
  2. Step 2: Convert to fraction form
    5,892.56/8,130.64 = 4,005.68/x
  3. Step 3: Cross multiply
    5,892.56x = 8,130.64 × 4,005.68
  4. Step 4: Simplify right side
    5,892.56x = 32,568,742.04
  5. Step 5: Solve for x
    x = 32,568,742.04/5,892.56
  6. Step 6: Final answer
    x = 5,527.10

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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.