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Finding the Fourth Proportional to 4,537.36, 6,801.18 and 2,224

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Solution

The fourth proportional to 4,537.36, 6,801.18 and 2,224 is: 3,333.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,537.36 : 6,801.18 = 2,224 : x
  2. Step 2: Convert to fraction form
    4,537.36/6,801.18 = 2,224/x
  3. Step 3: Cross multiply
    4,537.36x = 6,801.18 × 2,224
  4. Step 4: Simplify right side
    4,537.36x = 15,125,824.32
  5. Step 5: Solve for x
    x = 15,125,824.32/4,537.36
  6. Step 6: Final answer
    x = 3,333.62

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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.