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Finding the Fourth Proportional to 4,165.60, 6,251.10 and 2,410.60

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Solution

The fourth proportional to 4,165.60, 6,251.10 and 2,410.60 is: 3,617.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165.60 : 6,251.10 = 2,410.60 : x
  2. Step 2: Convert to fraction form
    4,165.60/6,251.10 = 2,410.60/x
  3. Step 3: Cross multiply
    4,165.60x = 6,251.10 × 2,410.60
  4. Step 4: Simplify right side
    4,165.60x = 15,068,901.66
  5. Step 5: Solve for x
    x = 15,068,901.66/4,165.60
  6. Step 6: Final answer
    x = 3,617.46

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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.