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Finding the Fourth Proportional to 5,633.66, 8,449.47 and 2,123.98

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Solution

The fourth proportional to 5,633.66, 8,449.47 and 2,123.98 is: 3,185.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,633.66 : 8,449.47 = 2,123.98 : x
  2. Step 2: Convert to fraction form
    5,633.66/8,449.47 = 2,123.98/x
  3. Step 3: Cross multiply
    5,633.66x = 8,449.47 × 2,123.98
  4. Step 4: Simplify right side
    5,633.66x = 17,946,505.29
  5. Step 5: Solve for x
    x = 17,946,505.29/5,633.66
  6. Step 6: Final answer
    x = 3,185.59

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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.