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Finding the Fourth Proportional to 3,765.98, 5,648.25 and 1,300.82

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Solution

The fourth proportional to 3,765.98, 5,648.25 and 1,300.82 is: 1,950.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.98 : 5,648.25 = 1,300.82 : x
  2. Step 2: Convert to fraction form
    3,765.98/5,648.25 = 1,300.82/x
  3. Step 3: Cross multiply
    3,765.98x = 5,648.25 × 1,300.82
  4. Step 4: Simplify right side
    3,765.98x = 7,347,328.32
  5. Step 5: Solve for x
    x = 7,347,328.32/3,765.98
  6. Step 6: Final answer
    x = 1,950.98

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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.