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Finding the Fourth Proportional to 4,296.48, 6,447.21 and 2,322.12

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Solution

The fourth proportional to 4,296.48, 6,447.21 and 2,322.12 is: 3,484.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,296.48 : 6,447.21 = 2,322.12 : x
  2. Step 2: Convert to fraction form
    4,296.48/6,447.21 = 2,322.12/x
  3. Step 3: Cross multiply
    4,296.48x = 6,447.21 × 2,322.12
  4. Step 4: Simplify right side
    4,296.48x = 14,971,195.29
  5. Step 5: Solve for x
    x = 14,971,195.29/4,296.48
  6. Step 6: Final answer
    x = 3,484.53

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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.