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Finding the Fourth Proportional to 5,411.95, 8,117.38 and 1,516.39

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Solution

The fourth proportional to 5,411.95, 8,117.38 and 1,516.39 is: 2,274.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,411.95 : 8,117.38 = 1,516.39 : x
  2. Step 2: Convert to fraction form
    5,411.95/8,117.38 = 1,516.39/x
  3. Step 3: Cross multiply
    5,411.95x = 8,117.38 × 1,516.39
  4. Step 4: Simplify right side
    5,411.95x = 12,309,113.86
  5. Step 5: Solve for x
    x = 12,309,113.86/5,411.95
  6. Step 6: Final answer
    x = 2,274.43

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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.