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Finding the Fourth Proportional to 3,459.87, 5,187.81 and 2,365.56

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Solution

The fourth proportional to 3,459.87, 5,187.81 and 2,365.56 is: 3,546.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459.87 : 5,187.81 = 2,365.56 : x
  2. Step 2: Convert to fraction form
    3,459.87/5,187.81 = 2,365.56/x
  3. Step 3: Cross multiply
    3,459.87x = 5,187.81 × 2,365.56
  4. Step 4: Simplify right side
    3,459.87x = 12,272,075.82
  5. Step 5: Solve for x
    x = 12,272,075.82/3,459.87
  6. Step 6: Final answer
    x = 3,546.98

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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.