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Finding the Fourth Proportional to 5,967.41, 8,948.03 and 4,096.16

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Solution

The fourth proportional to 5,967.41, 8,948.03 and 4,096.16 is: 6,142.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,967.41 : 8,948.03 = 4,096.16 : x
  2. Step 2: Convert to fraction form
    5,967.41/8,948.03 = 4,096.16/x
  3. Step 3: Cross multiply
    5,967.41x = 8,948.03 × 4,096.16
  4. Step 4: Simplify right side
    5,967.41x = 36,652,528.07
  5. Step 5: Solve for x
    x = 36,652,528.07/5,967.41
  6. Step 6: Final answer
    x = 6,142.12

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Why These Related Problems?

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