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Finding the Fourth Proportional to 4,283.28, 5,916.24 and 3,693.60

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Solution

The fourth proportional to 4,283.28, 5,916.24 and 3,693.60 is: 5,101.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,283.28 : 5,916.24 = 3,693.60 : x
  2. Step 2: Convert to fraction form
    4,283.28/5,916.24 = 3,693.60/x
  3. Step 3: Cross multiply
    4,283.28x = 5,916.24 × 3,693.60
  4. Step 4: Simplify right side
    4,283.28x = 21,852,224.06
  5. Step 5: Solve for x
    x = 21,852,224.06/4,283.28
  6. Step 6: Final answer
    x = 5,101.75

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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.