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Finding the Fourth Proportional to 4,128, 5,696.64 and 2,264.96

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Solution

The fourth proportional to 4,128, 5,696.64 and 2,264.96 is: 3,125.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,128 : 5,696.64 = 2,264.96 : x
  2. Step 2: Convert to fraction form
    4,128/5,696.64 = 2,264.96/x
  3. Step 3: Cross multiply
    4,128x = 5,696.64 × 2,264.96
  4. Step 4: Simplify right side
    4,128x = 12,902,661.73
  5. Step 5: Solve for x
    x = 12,902,661.73/4,128
  6. Step 6: Final answer
    x = 3,125.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.