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Finding the Fourth Proportional to 4,207.68, 5,817.12 and 3,544.64

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Solution

The fourth proportional to 4,207.68, 5,817.12 and 3,544.64 is: 4,900.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,207.68 : 5,817.12 = 3,544.64 : x
  2. Step 2: Convert to fraction form
    4,207.68/5,817.12 = 3,544.64/x
  3. Step 3: Cross multiply
    4,207.68x = 5,817.12 × 3,544.64
  4. Step 4: Simplify right side
    4,207.68x = 20,619,596.24
  5. Step 5: Solve for x
    x = 20,619,596.24/4,207.68
  6. Step 6: Final answer
    x = 4,900.47

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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.