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Finding the Fourth Proportional to 4,466.74, 6,164.01 and 2,477.25

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Solution

The fourth proportional to 4,466.74, 6,164.01 and 2,477.25 is: 3,418.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,466.74 : 6,164.01 = 2,477.25 : x
  2. Step 2: Convert to fraction form
    4,466.74/6,164.01 = 2,477.25/x
  3. Step 3: Cross multiply
    4,466.74x = 6,164.01 × 2,477.25
  4. Step 4: Simplify right side
    4,466.74x = 15,269,762.95
  5. Step 5: Solve for x
    x = 15,269,762.95/4,466.74
  6. Step 6: Final answer
    x = 3,418.55

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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.