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Finding the Fourth Proportional to 4,123.56, 6,185.28 and 1,045.56

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Solution

The fourth proportional to 4,123.56, 6,185.28 and 1,045.56 is: 1,568.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,123.56 : 6,185.28 = 1,045.56 : x
  2. Step 2: Convert to fraction form
    4,123.56/6,185.28 = 1,045.56/x
  3. Step 3: Cross multiply
    4,123.56x = 6,185.28 × 1,045.56
  4. Step 4: Simplify right side
    4,123.56x = 6,467,081.36
  5. Step 5: Solve for x
    x = 6,467,081.36/4,123.56
  6. Step 6: Final answer
    x = 1,568.32

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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.