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Finding the Fourth Proportional to 4,653.36, 6,974.64 and 2,186.64

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Solution

The fourth proportional to 4,653.36, 6,974.64 and 2,186.64 is: 3,277.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,653.36 : 6,974.64 = 2,186.64 : x
  2. Step 2: Convert to fraction form
    4,653.36/6,974.64 = 2,186.64/x
  3. Step 3: Cross multiply
    4,653.36x = 6,974.64 × 2,186.64
  4. Step 4: Simplify right side
    4,653.36x = 15,251,026.81
  5. Step 5: Solve for x
    x = 15,251,026.81/4,653.36
  6. Step 6: Final answer
    x = 3,277.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.