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Finding the Fourth Proportional to 5,966.46, 8,955.16 and 3,196.26

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Solution

The fourth proportional to 5,966.46, 8,955.16 and 3,196.26 is: 4,797.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,966.46 : 8,955.16 = 3,196.26 : x
  2. Step 2: Convert to fraction form
    5,966.46/8,955.16 = 3,196.26/x
  3. Step 3: Cross multiply
    5,966.46x = 8,955.16 × 3,196.26
  4. Step 4: Simplify right side
    5,966.46x = 28,623,011.71
  5. Step 5: Solve for x
    x = 28,623,011.71/5,966.46
  6. Step 6: Final answer
    x = 4,797.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.