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Finding the Fourth Proportional to 4,128, 5,696.56 and 2,359.52

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Solution

The fourth proportional to 4,128, 5,696.56 and 2,359.52 is: 3,256.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,128 : 5,696.56 = 2,359.52 : x
  2. Step 2: Convert to fraction form
    4,128/5,696.56 = 2,359.52/x
  3. Step 3: Cross multiply
    4,128x = 5,696.56 × 2,359.52
  4. Step 4: Simplify right side
    4,128x = 13,441,147.25
  5. Step 5: Solve for x
    x = 13,441,147.25/4,128
  6. Step 6: Final answer
    x = 3,256.09

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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.