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Finding the Fourth Proportional to 5,095.92, 7,643.76 and 1,633.20

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Solution

The fourth proportional to 5,095.92, 7,643.76 and 1,633.20 is: 2,449.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,095.92 : 7,643.76 = 1,633.20 : x
  2. Step 2: Convert to fraction form
    5,095.92/7,643.76 = 1,633.20/x
  3. Step 3: Cross multiply
    5,095.92x = 7,643.76 × 1,633.20
  4. Step 4: Simplify right side
    5,095.92x = 12,483,788.83
  5. Step 5: Solve for x
    x = 12,483,788.83/5,095.92
  6. Step 6: Final answer
    x = 2,449.76

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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.