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Finding the Fourth Proportional to 4,884.16, 7,326.14 and 1,186.41

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Solution

The fourth proportional to 4,884.16, 7,326.14 and 1,186.41 is: 1,779.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,884.16 : 7,326.14 = 1,186.41 : x
  2. Step 2: Convert to fraction form
    4,884.16/7,326.14 = 1,186.41/x
  3. Step 3: Cross multiply
    4,884.16x = 7,326.14 × 1,186.41
  4. Step 4: Simplify right side
    4,884.16x = 8,691,784.48
  5. Step 5: Solve for x
    x = 8,691,784.48/4,884.16
  6. Step 6: Final answer
    x = 1,779.59

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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.