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Finding the Fourth Proportional to 4,558.34, 6,832.96 and 1,783.28

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Solution

The fourth proportional to 4,558.34, 6,832.96 and 1,783.28 is: 2,673.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,558.34 : 6,832.96 = 1,783.28 : x
  2. Step 2: Convert to fraction form
    4,558.34/6,832.96 = 1,783.28/x
  3. Step 3: Cross multiply
    4,558.34x = 6,832.96 × 1,783.28
  4. Step 4: Simplify right side
    4,558.34x = 12,185,093.53
  5. Step 5: Solve for x
    x = 12,185,093.53/4,558.34
  6. Step 6: Final answer
    x = 2,673.14

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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.