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Finding the Fourth Proportional to 3,765.99, 5,648.58 and 1,300.62

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Solution

The fourth proportional to 3,765.99, 5,648.58 and 1,300.62 is: 1,950.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.99 : 5,648.58 = 1,300.62 : x
  2. Step 2: Convert to fraction form
    3,765.99/5,648.58 = 1,300.62/x
  3. Step 3: Cross multiply
    3,765.99x = 5,648.58 × 1,300.62
  4. Step 4: Simplify right side
    3,765.99x = 7,346,656.12
  5. Step 5: Solve for x
    x = 7,346,656.12/3,765.99
  6. Step 6: Final answer
    x = 1,950.79

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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.