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Finding the Fourth Proportional to 4,455.36, 6,678 and 2,142

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Solution

The fourth proportional to 4,455.36, 6,678 and 2,142 is: 3,210.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,455.36 : 6,678 = 2,142 : x
  2. Step 2: Convert to fraction form
    4,455.36/6,678 = 2,142/x
  3. Step 3: Cross multiply
    4,455.36x = 6,678 × 2,142
  4. Step 4: Simplify right side
    4,455.36x = 14,304,276
  5. Step 5: Solve for x
    x = 14,304,276/4,455.36
  6. Step 6: Final answer
    x = 3,210.58

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