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Finding the Fourth Proportional to 4,661.68, 6,419.25 and 4,558.22

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Solution

The fourth proportional to 4,661.68, 6,419.25 and 4,558.22 is: 6,276.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.68 : 6,419.25 = 4,558.22 : x
  2. Step 2: Convert to fraction form
    4,661.68/6,419.25 = 4,558.22/x
  3. Step 3: Cross multiply
    4,661.68x = 6,419.25 × 4,558.22
  4. Step 4: Simplify right side
    4,661.68x = 29,260,353.74
  5. Step 5: Solve for x
    x = 29,260,353.74/4,661.68
  6. Step 6: Final answer
    x = 6,276.78

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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.