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Finding the Fourth Proportional to 3,287.30, 4,931.28 and 1,096.16

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Solution

The fourth proportional to 3,287.30, 4,931.28 and 1,096.16 is: 1,644.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.30 : 4,931.28 = 1,096.16 : x
  2. Step 2: Convert to fraction form
    3,287.30/4,931.28 = 1,096.16/x
  3. Step 3: Cross multiply
    3,287.30x = 4,931.28 × 1,096.16
  4. Step 4: Simplify right side
    3,287.30x = 5,405,447.23
  5. Step 5: Solve for x
    x = 5,405,447.23/3,287.30
  6. Step 6: Final answer
    x = 1,644.35

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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.