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Finding the Fourth Proportional to 3,765.44, 5,647.80 and 2,303.84

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Solution

The fourth proportional to 3,765.44, 5,647.80 and 2,303.84 is: 3,455.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.44 : 5,647.80 = 2,303.84 : x
  2. Step 2: Convert to fraction form
    3,765.44/5,647.80 = 2,303.84/x
  3. Step 3: Cross multiply
    3,765.44x = 5,647.80 × 2,303.84
  4. Step 4: Simplify right side
    3,765.44x = 13,011,627.55
  5. Step 5: Solve for x
    x = 13,011,627.55/3,765.44
  6. Step 6: Final answer
    x = 3,455.54

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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.