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Finding the Fourth Proportional to 6,154.40, 9,241.20 and 3,562.40

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Solution

The fourth proportional to 6,154.40, 9,241.20 and 3,562.40 is: 5,349.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154.40 : 9,241.20 = 3,562.40 : x
  2. Step 2: Convert to fraction form
    6,154.40/9,241.20 = 3,562.40/x
  3. Step 3: Cross multiply
    6,154.40x = 9,241.20 × 3,562.40
  4. Step 4: Simplify right side
    6,154.40x = 32,920,850.88
  5. Step 5: Solve for x
    x = 32,920,850.88/6,154.40
  6. Step 6: Final answer
    x = 5,349.16

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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.