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Finding the Fourth Proportional to 4,241.82, 6,365.22 and 1,776.45

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Solution

The fourth proportional to 4,241.82, 6,365.22 and 1,776.45 is: 2,665.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,241.82 : 6,365.22 = 1,776.45 : x
  2. Step 2: Convert to fraction form
    4,241.82/6,365.22 = 1,776.45/x
  3. Step 3: Cross multiply
    4,241.82x = 6,365.22 × 1,776.45
  4. Step 4: Simplify right side
    4,241.82x = 11,307,495.07
  5. Step 5: Solve for x
    x = 11,307,495.07/4,241.82
  6. Step 6: Final answer
    x = 2,665.72

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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.