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Finding the Fourth Proportional to 4,884.68, 7,326.99 and 1,186.93

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Solution

The fourth proportional to 4,884.68, 7,326.99 and 1,186.93 is: 1,780.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,884.68 : 7,326.99 = 1,186.93 : x
  2. Step 2: Convert to fraction form
    4,884.68/7,326.99 = 1,186.93/x
  3. Step 3: Cross multiply
    4,884.68x = 7,326.99 × 1,186.93
  4. Step 4: Simplify right side
    4,884.68x = 8,696,633.40
  5. Step 5: Solve for x
    x = 8,696,633.40/4,884.68
  6. Step 6: Final answer
    x = 1,780.39

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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.