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Finding the Fourth Proportional to 4,882.37, 7,323.48 and 1,184.63

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Solution

The fourth proportional to 4,882.37, 7,323.48 and 1,184.63 is: 1,776.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,882.37 : 7,323.48 = 1,184.63 : x
  2. Step 2: Convert to fraction form
    4,882.37/7,323.48 = 1,184.63/x
  3. Step 3: Cross multiply
    4,882.37x = 7,323.48 × 1,184.63
  4. Step 4: Simplify right side
    4,882.37x = 8,675,614.11
  5. Step 5: Solve for x
    x = 8,675,614.11/4,882.37
  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.