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Finding the Fourth Proportional to 4,466.65, 6,164.36 and 2,477.83

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Solution

The fourth proportional to 4,466.65, 6,164.36 and 2,477.83 is: 3,419.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,466.65 : 6,164.36 = 2,477.83 : x
  2. Step 2: Convert to fraction form
    4,466.65/6,164.36 = 2,477.83/x
  3. Step 3: Cross multiply
    4,466.65x = 6,164.36 × 2,477.83
  4. Step 4: Simplify right side
    4,466.65x = 15,274,236.14
  5. Step 5: Solve for x
    x = 15,274,236.14/4,466.65
  6. Step 6: Final answer
    x = 3,419.62

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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.