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Finding the Fourth Proportional to 4,123.75, 6,185.64 and 1,045.75

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Solution

The fourth proportional to 4,123.75, 6,185.64 and 1,045.75 is: 1,568.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,123.75 : 6,185.64 = 1,045.75 : x
  2. Step 2: Convert to fraction form
    4,123.75/6,185.64 = 1,045.75/x
  3. Step 3: Cross multiply
    4,123.75x = 6,185.64 × 1,045.75
  4. Step 4: Simplify right side
    4,123.75x = 6,468,633.03
  5. Step 5: Solve for x
    x = 6,468,633.03/4,123.75
  6. Step 6: Final answer
    x = 1,568.63

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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.