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Finding the Fourth Proportional to 5,085.68, 7,629.32 and 2,164

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Solution

The fourth proportional to 5,085.68, 7,629.32 and 2,164 is: 3,246.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,085.68 : 7,629.32 = 2,164 : x
  2. Step 2: Convert to fraction form
    5,085.68/7,629.32 = 2,164/x
  3. Step 3: Cross multiply
    5,085.68x = 7,629.32 × 2,164
  4. Step 4: Simplify right side
    5,085.68x = 16,509,848.48
  5. Step 5: Solve for x
    x = 16,509,848.48/5,085.68
  6. Step 6: Final answer
    x = 3,246.34

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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.