Home / 5,095.96-7,644-1,633.18

Finding the Fourth Proportional to 5,095.96, 7,644 and 1,633.18

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Solution

The fourth proportional to 5,095.96, 7,644 and 1,633.18 is: 2,449.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,095.96 : 7,644 = 1,633.18 : x
  2. Step 2: Convert to fraction form
    5,095.96/7,644 = 1,633.18/x
  3. Step 3: Cross multiply
    5,095.96x = 7,644 × 1,633.18
  4. Step 4: Simplify right side
    5,095.96x = 12,484,027.92
  5. Step 5: Solve for x
    x = 12,484,027.92/5,095.96
  6. Step 6: Final answer
    x = 2,449.79

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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.