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Finding the Fourth Proportional to 4,507.12, 6,219.60 and 2,644

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Solution

The fourth proportional to 4,507.12, 6,219.60 and 2,644 is: 3,648.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,507.12 : 6,219.60 = 2,644 : x
  2. Step 2: Convert to fraction form
    4,507.12/6,219.60 = 2,644/x
  3. Step 3: Cross multiply
    4,507.12x = 6,219.60 × 2,644
  4. Step 4: Simplify right side
    4,507.12x = 16,444,622.40
  5. Step 5: Solve for x
    x = 16,444,622.40/4,507.12
  6. Step 6: Final answer
    x = 3,648.59

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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.