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Finding the Fourth Proportional to 5,168.54, 7,128.95 and 3,180.20

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Solution

The fourth proportional to 5,168.54, 7,128.95 and 3,180.20 is: 4,386.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,168.54 : 7,128.95 = 3,180.20 : x
  2. Step 2: Convert to fraction form
    5,168.54/7,128.95 = 3,180.20/x
  3. Step 3: Cross multiply
    5,168.54x = 7,128.95 × 3,180.20
  4. Step 4: Simplify right side
    5,168.54x = 22,671,435.24
  5. Step 5: Solve for x
    x = 22,671,435.24/5,168.54
  6. Step 6: Final answer
    x = 4,386.43

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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.