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Finding the Fourth Proportional to 4,849.36, 6,696.84 and 4,146.64

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Solution

The fourth proportional to 4,849.36, 6,696.84 and 4,146.64 is: 5,726.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,849.36 : 6,696.84 = 4,146.64 : x
  2. Step 2: Convert to fraction form
    4,849.36/6,696.84 = 4,146.64/x
  3. Step 3: Cross multiply
    4,849.36x = 6,696.84 × 4,146.64
  4. Step 4: Simplify right side
    4,849.36x = 27,769,384.62
  5. Step 5: Solve for x
    x = 27,769,384.62/4,849.36
  6. Step 6: Final answer
    x = 5,726.40

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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.