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Finding the Fourth Proportional to 5,577.40, 7,696.54 and 3,220.30

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Solution

The fourth proportional to 5,577.40, 7,696.54 and 3,220.30 is: 4,443.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,577.40 : 7,696.54 = 3,220.30 : x
  2. Step 2: Convert to fraction form
    5,577.40/7,696.54 = 3,220.30/x
  3. Step 3: Cross multiply
    5,577.40x = 7,696.54 × 3,220.30
  4. Step 4: Simplify right side
    5,577.40x = 24,785,140.47
  5. Step 5: Solve for x
    x = 24,785,140.47/5,577.40
  6. Step 6: Final answer
    x = 4,443.85

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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.