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Finding the Fourth Proportional to 3,752.16, 5,628.48 and 1,286.88

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Solution

The fourth proportional to 3,752.16, 5,628.48 and 1,286.88 is: 1,930.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,752.16 : 5,628.48 = 1,286.88 : x
  2. Step 2: Convert to fraction form
    3,752.16/5,628.48 = 1,286.88/x
  3. Step 3: Cross multiply
    3,752.16x = 5,628.48 × 1,286.88
  4. Step 4: Simplify right side
    3,752.16x = 7,243,178.34
  5. Step 5: Solve for x
    x = 7,243,178.34/3,752.16
  6. Step 6: Final answer
    x = 1,930.40

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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.