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Finding the Fourth Proportional to 5,186.52, 7,779.84 and 1,290.93

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Solution

The fourth proportional to 5,186.52, 7,779.84 and 1,290.93 is: 1,936.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186.52 : 7,779.84 = 1,290.93 : x
  2. Step 2: Convert to fraction form
    5,186.52/7,779.84 = 1,290.93/x
  3. Step 3: Cross multiply
    5,186.52x = 7,779.84 × 1,290.93
  4. Step 4: Simplify right side
    5,186.52x = 10,043,202.95
  5. Step 5: Solve for x
    x = 10,043,202.95/5,186.52
  6. Step 6: Final answer
    x = 1,936.40

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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.