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Finding the Fourth Proportional to 3,624.96, 5,002.58 and 2,228.16

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Solution

The fourth proportional to 3,624.96, 5,002.58 and 2,228.16 is: 3,074.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,624.96 : 5,002.58 = 2,228.16 : x
  2. Step 2: Convert to fraction form
    3,624.96/5,002.58 = 2,228.16/x
  3. Step 3: Cross multiply
    3,624.96x = 5,002.58 × 2,228.16
  4. Step 4: Simplify right side
    3,624.96x = 11,146,548.65
  5. Step 5: Solve for x
    x = 11,146,548.65/3,624.96
  6. Step 6: Final answer
    x = 3,074.94

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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.