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Finding the Fourth Proportional to 5,234.95, 7,853.14 and 1,536.66

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Solution

The fourth proportional to 5,234.95, 7,853.14 and 1,536.66 is: 2,305.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.95 : 7,853.14 = 1,536.66 : x
  2. Step 2: Convert to fraction form
    5,234.95/7,853.14 = 1,536.66/x
  3. Step 3: Cross multiply
    5,234.95x = 7,853.14 × 1,536.66
  4. Step 4: Simplify right side
    5,234.95x = 12,067,566.85
  5. Step 5: Solve for x
    x = 12,067,566.85/5,234.95
  6. Step 6: Final answer
    x = 2,305.19

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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.