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Finding the Fourth Proportional to 3,782.53, 5,216.40 and 2,365.77

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Solution

The fourth proportional to 3,782.53, 5,216.40 and 2,365.77 is: 3,262.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.53 : 5,216.40 = 2,365.77 : x
  2. Step 2: Convert to fraction form
    3,782.53/5,216.40 = 2,365.77/x
  3. Step 3: Cross multiply
    3,782.53x = 5,216.40 × 2,365.77
  4. Step 4: Simplify right side
    3,782.53x = 12,340,802.63
  5. Step 5: Solve for x
    x = 12,340,802.63/3,782.53
  6. Step 6: Final answer
    x = 3,262.58

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