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Finding the Fourth Proportional to 5,700.80, 8,546.04 and 2,236.16

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Solution

The fourth proportional to 5,700.80, 8,546.04 and 2,236.16 is: 3,352.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700.80 : 8,546.04 = 2,236.16 : x
  2. Step 2: Convert to fraction form
    5,700.80/8,546.04 = 2,236.16/x
  3. Step 3: Cross multiply
    5,700.80x = 8,546.04 × 2,236.16
  4. Step 4: Simplify right side
    5,700.80x = 19,110,312.81
  5. Step 5: Solve for x
    x = 19,110,312.81/5,700.80
  6. Step 6: Final answer
    x = 3,352.22

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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.