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Finding the Fourth Proportional to 4,301.64, 6,449.70 and 2,355.22

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Solution

The fourth proportional to 4,301.64, 6,449.70 and 2,355.22 is: 3,531.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,301.64 : 6,449.70 = 2,355.22 : x
  2. Step 2: Convert to fraction form
    4,301.64/6,449.70 = 2,355.22/x
  3. Step 3: Cross multiply
    4,301.64x = 6,449.70 × 2,355.22
  4. Step 4: Simplify right side
    4,301.64x = 15,190,462.43
  5. Step 5: Solve for x
    x = 15,190,462.43/4,301.64
  6. Step 6: Final answer
    x = 3,531.32

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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.