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Finding the Fourth Proportional to 6,410.88, 9,605.37 and 3,483.96

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Solution

The fourth proportional to 6,410.88, 9,605.37 and 3,483.96 is: 5,219.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.88 : 9,605.37 = 3,483.96 : x
  2. Step 2: Convert to fraction form
    6,410.88/9,605.37 = 3,483.96/x
  3. Step 3: Cross multiply
    6,410.88x = 9,605.37 × 3,483.96
  4. Step 4: Simplify right side
    6,410.88x = 33,464,724.87
  5. Step 5: Solve for x
    x = 33,464,724.87/6,410.88
  6. Step 6: Final answer
    x = 5,219.99

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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.