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Finding the Fourth Proportional to 4,123.64, 6,185.46 and 1,045.64

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Solution

The fourth proportional to 4,123.64, 6,185.46 and 1,045.64 is: 1,568.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,123.64 : 6,185.46 = 1,045.64 : x
  2. Step 2: Convert to fraction form
    4,123.64/6,185.46 = 1,045.64/x
  3. Step 3: Cross multiply
    4,123.64x = 6,185.46 × 1,045.64
  4. Step 4: Simplify right side
    4,123.64x = 6,467,764.39
  5. Step 5: Solve for x
    x = 6,467,764.39/4,123.64
  6. Step 6: Final answer
    x = 1,568.46

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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.