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Finding the Fourth Proportional to 4,812.64, 7,221.84 and 4,420.96

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Solution

The fourth proportional to 4,812.64, 7,221.84 and 4,420.96 is: 6,634.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,812.64 : 7,221.84 = 4,420.96 : x
  2. Step 2: Convert to fraction form
    4,812.64/7,221.84 = 4,420.96/x
  3. Step 3: Cross multiply
    4,812.64x = 7,221.84 × 4,420.96
  4. Step 4: Simplify right side
    4,812.64x = 31,927,465.77
  5. Step 5: Solve for x
    x = 31,927,465.77/4,812.64
  6. Step 6: Final answer
    x = 6,634.09

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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.