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Finding the Fourth Proportional to 4,276.40, 6,412.64 and 1,775.79

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Solution

The fourth proportional to 4,276.40, 6,412.64 and 1,775.79 is: 2,662.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,276.40 : 6,412.64 = 1,775.79 : x
  2. Step 2: Convert to fraction form
    4,276.40/6,412.64 = 1,775.79/x
  3. Step 3: Cross multiply
    4,276.40x = 6,412.64 × 1,775.79
  4. Step 4: Simplify right side
    4,276.40x = 11,387,493.11
  5. Step 5: Solve for x
    x = 11,387,493.11/4,276.40
  6. Step 6: Final answer
    x = 2,662.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.