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Finding the Fourth Proportional to 3,762.56, 5,193.78 and 2,365.04

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Solution

The fourth proportional to 3,762.56, 5,193.78 and 2,365.04 is: 3,264.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.56 : 5,193.78 = 2,365.04 : x
  2. Step 2: Convert to fraction form
    3,762.56/5,193.78 = 2,365.04/x
  3. Step 3: Cross multiply
    3,762.56x = 5,193.78 × 2,365.04
  4. Step 4: Simplify right side
    3,762.56x = 12,283,497.45
  5. Step 5: Solve for x
    x = 12,283,497.45/3,762.56
  6. Step 6: Final answer
    x = 3,264.66

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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.