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Finding the Fourth Proportional to 5,134.48, 7,700.37 and 1,846.96

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Solution

The fourth proportional to 5,134.48, 7,700.37 and 1,846.96 is: 2,769.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,134.48 : 7,700.37 = 1,846.96 : x
  2. Step 2: Convert to fraction form
    5,134.48/7,700.37 = 1,846.96/x
  3. Step 3: Cross multiply
    5,134.48x = 7,700.37 × 1,846.96
  4. Step 4: Simplify right side
    5,134.48x = 14,222,275.38
  5. Step 5: Solve for x
    x = 14,222,275.38/5,134.48
  6. Step 6: Final answer
    x = 2,769.95

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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.