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Finding the Fourth Proportional to 3,508.92, 5,263.38 and 2,409.95

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Solution

The fourth proportional to 3,508.92, 5,263.38 and 2,409.95 is: 3,614.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,508.92 : 5,263.38 = 2,409.95 : x
  2. Step 2: Convert to fraction form
    3,508.92/5,263.38 = 2,409.95/x
  3. Step 3: Cross multiply
    3,508.92x = 5,263.38 × 2,409.95
  4. Step 4: Simplify right side
    3,508.92x = 12,684,495.79
  5. Step 5: Solve for x
    x = 12,684,495.79/3,508.92
  6. Step 6: Final answer
    x = 3,614.93

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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.