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Finding the Fourth Proportional to 4,128, 5,696.94 and 2,359.56

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Solution

The fourth proportional to 4,128, 5,696.94 and 2,359.56 is: 3,256.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,128 : 5,696.94 = 2,359.56 : x
  2. Step 2: Convert to fraction form
    4,128/5,696.94 = 2,359.56/x
  3. Step 3: Cross multiply
    4,128x = 5,696.94 × 2,359.56
  4. Step 4: Simplify right side
    4,128x = 13,442,271.75
  5. Step 5: Solve for x
    x = 13,442,271.75/4,128
  6. Step 6: Final answer
    x = 3,256.36

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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.