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Finding the Fourth Proportional to 4,128.17, 5,696.93 and 2,359.73

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Solution

The fourth proportional to 4,128.17, 5,696.93 and 2,359.73 is: 3,256.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,128.17 : 5,696.93 = 2,359.73 : x
  2. Step 2: Convert to fraction form
    4,128.17/5,696.93 = 2,359.73/x
  3. Step 3: Cross multiply
    4,128.17x = 5,696.93 × 2,359.73
  4. Step 4: Simplify right side
    4,128.17x = 13,443,236.77
  5. Step 5: Solve for x
    x = 13,443,236.77/4,128.17
  6. Step 6: Final answer
    x = 3,256.47

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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.