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Finding the Fourth Proportional to 4,882.59, 7,323.83 and 1,184.86

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Solution

The fourth proportional to 4,882.59, 7,323.83 and 1,184.86 is: 1,777.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,882.59 : 7,323.83 = 1,184.86 : x
  2. Step 2: Convert to fraction form
    4,882.59/7,323.83 = 1,184.86/x
  3. Step 3: Cross multiply
    4,882.59x = 7,323.83 × 1,184.86
  4. Step 4: Simplify right side
    4,882.59x = 8,677,713.21
  5. Step 5: Solve for x
    x = 8,677,713.21/4,882.59
  6. Step 6: Final answer
    x = 1,777.28

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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.