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Finding the Fourth Proportional to 5,640.54, 7,785.24 and 3,283.04

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Solution

The fourth proportional to 5,640.54, 7,785.24 and 3,283.04 is: 4,531.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.54 : 7,785.24 = 3,283.04 : x
  2. Step 2: Convert to fraction form
    5,640.54/7,785.24 = 3,283.04/x
  3. Step 3: Cross multiply
    5,640.54x = 7,785.24 × 3,283.04
  4. Step 4: Simplify right side
    5,640.54x = 25,559,254.33
  5. Step 5: Solve for x
    x = 25,559,254.33/5,640.54
  6. Step 6: Final answer
    x = 4,531.35

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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.