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Finding the Fourth Proportional to 4,560, 6,840.96 and 1,824

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Solution

The fourth proportional to 4,560, 6,840.96 and 1,824 is: 2,736.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,560 : 6,840.96 = 1,824 : x
  2. Step 2: Convert to fraction form
    4,560/6,840.96 = 1,824/x
  3. Step 3: Cross multiply
    4,560x = 6,840.96 × 1,824
  4. Step 4: Simplify right side
    4,560x = 12,477,911.04
  5. Step 5: Solve for x
    x = 12,477,911.04/4,560
  6. Step 6: Final answer
    x = 2,736.38

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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.