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Finding the Fourth Proportional to 4,884.57, 7,326.84 and 1,186.80

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Solution

The fourth proportional to 4,884.57, 7,326.84 and 1,186.80 is: 1,780.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,884.57 : 7,326.84 = 1,186.80 : x
  2. Step 2: Convert to fraction form
    4,884.57/7,326.84 = 1,186.80/x
  3. Step 3: Cross multiply
    4,884.57x = 7,326.84 × 1,186.80
  4. Step 4: Simplify right side
    4,884.57x = 8,695,493.71
  5. Step 5: Solve for x
    x = 8,695,493.71/4,884.57
  6. Step 6: Final answer
    x = 1,780.20

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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.