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Finding the Fourth Proportional to 6,410.14, 8,846 and 3,577.70

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Solution

The fourth proportional to 6,410.14, 8,846 and 3,577.70 is: 4,937.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.14 : 8,846 = 3,577.70 : x
  2. Step 2: Convert to fraction form
    6,410.14/8,846 = 3,577.70/x
  3. Step 3: Cross multiply
    6,410.14x = 8,846 × 3,577.70
  4. Step 4: Simplify right side
    6,410.14x = 31,648,334.20
  5. Step 5: Solve for x
    x = 31,648,334.20/6,410.14
  6. Step 6: Final answer
    x = 4,937.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.