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Finding the Fourth Proportional to 5,931.62, 8,185.64 and 3,574.22

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Solution

The fourth proportional to 5,931.62, 8,185.64 and 3,574.22 is: 4,932.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,931.62 : 8,185.64 = 3,574.22 : x
  2. Step 2: Convert to fraction form
    5,931.62/8,185.64 = 3,574.22/x
  3. Step 3: Cross multiply
    5,931.62x = 8,185.64 × 3,574.22
  4. Step 4: Simplify right side
    5,931.62x = 29,257,219.40
  5. Step 5: Solve for x
    x = 29,257,219.40/5,931.62
  6. Step 6: Final answer
    x = 4,932.42

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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.