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Finding the Fourth Proportional to 3,650.49, 5,476.23 and 1,184.51

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Solution

The fourth proportional to 3,650.49, 5,476.23 and 1,184.51 is: 1,776.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,650.49 : 5,476.23 = 1,184.51 : x
  2. Step 2: Convert to fraction form
    3,650.49/5,476.23 = 1,184.51/x
  3. Step 3: Cross multiply
    3,650.49x = 5,476.23 × 1,184.51
  4. Step 4: Simplify right side
    3,650.49x = 6,486,662.89
  5. Step 5: Solve for x
    x = 6,486,662.89/3,650.49
  6. Step 6: Final answer
    x = 1,776.93

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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.