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Finding the Fourth Proportional to 5,574.60, 7,694.64 and 3,218.28

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Solution

The fourth proportional to 5,574.60, 7,694.64 and 3,218.28 is: 4,442.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,574.60 : 7,694.64 = 3,218.28 : x
  2. Step 2: Convert to fraction form
    5,574.60/7,694.64 = 3,218.28/x
  3. Step 3: Cross multiply
    5,574.60x = 7,694.64 × 3,218.28
  4. Step 4: Simplify right side
    5,574.60x = 24,763,506.02
  5. Step 5: Solve for x
    x = 24,763,506.02/5,574.60
  6. Step 6: Final answer
    x = 4,442.20

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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.