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Finding the Fourth Proportional to 6,157.69, 9,240.20 and 2,459.36

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Solution

The fourth proportional to 6,157.69, 9,240.20 and 2,459.36 is: 3,690.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,157.69 : 9,240.20 = 2,459.36 : x
  2. Step 2: Convert to fraction form
    6,157.69/9,240.20 = 2,459.36/x
  3. Step 3: Cross multiply
    6,157.69x = 9,240.20 × 2,459.36
  4. Step 4: Simplify right side
    6,157.69x = 22,724,978.27
  5. Step 5: Solve for x
    x = 22,724,978.27/6,157.69
  6. Step 6: Final answer
    x = 3,690.50

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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.