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Finding the Fourth Proportional to 5,577.32, 7,696.64 and 3,219.41

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Solution

The fourth proportional to 5,577.32, 7,696.64 and 3,219.41 is: 4,442.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,577.32 : 7,696.64 = 3,219.41 : x
  2. Step 2: Convert to fraction form
    5,577.32/7,696.64 = 3,219.41/x
  3. Step 3: Cross multiply
    5,577.32x = 7,696.64 × 3,219.41
  4. Step 4: Simplify right side
    5,577.32x = 24,778,585.20
  5. Step 5: Solve for x
    x = 24,778,585.20/5,577.32
  6. Step 6: Final answer
    x = 4,442.74

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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.