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Finding the Fourth Proportional to 4,466.75, 6,164.51 and 2,477.79

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Solution

The fourth proportional to 4,466.75, 6,164.51 and 2,477.79 is: 3,419.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,466.75 : 6,164.51 = 2,477.79 : x
  2. Step 2: Convert to fraction form
    4,466.75/6,164.51 = 2,477.79/x
  3. Step 3: Cross multiply
    4,466.75x = 6,164.51 × 2,477.79
  4. Step 4: Simplify right side
    4,466.75x = 15,274,348.84
  5. Step 5: Solve for x
    x = 15,274,348.84/4,466.75
  6. Step 6: Final answer
    x = 3,419.57

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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.