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Finding the Fourth Proportional to 4,466.64, 6,164.04 and 2,477.28

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Solution

The fourth proportional to 4,466.64, 6,164.04 and 2,477.28 is: 3,418.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,466.64 : 6,164.04 = 2,477.28 : x
  2. Step 2: Convert to fraction form
    4,466.64/6,164.04 = 2,477.28/x
  3. Step 3: Cross multiply
    4,466.64x = 6,164.04 × 2,477.28
  4. Step 4: Simplify right side
    4,466.64x = 15,270,053.01
  5. Step 5: Solve for x
    x = 15,270,053.01/4,466.64
  6. Step 6: Final answer
    x = 3,418.69

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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.