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Finding the Fourth Proportional to 5,505.64, 8,239.24 and 4,506.91

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Solution

The fourth proportional to 5,505.64, 8,239.24 and 4,506.91 is: 6,744.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,505.64 : 8,239.24 = 4,506.91 : x
  2. Step 2: Convert to fraction form
    5,505.64/8,239.24 = 4,506.91/x
  3. Step 3: Cross multiply
    5,505.64x = 8,239.24 × 4,506.91
  4. Step 4: Simplify right side
    5,505.64x = 37,133,513.15
  5. Step 5: Solve for x
    x = 37,133,513.15/5,505.64
  6. Step 6: Final answer
    x = 6,744.63

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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.