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Finding the Fourth Proportional to 5,212.64, 7,812.72 and 3,644.08

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Solution

The fourth proportional to 5,212.64, 7,812.72 and 3,644.08 is: 5,461.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212.64 : 7,812.72 = 3,644.08 : x
  2. Step 2: Convert to fraction form
    5,212.64/7,812.72 = 3,644.08/x
  3. Step 3: Cross multiply
    5,212.64x = 7,812.72 × 3,644.08
  4. Step 4: Simplify right side
    5,212.64x = 28,470,176.70
  5. Step 5: Solve for x
    x = 28,470,176.70/5,212.64
  6. Step 6: Final answer
    x = 5,461.76

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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.