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Finding the Fourth Proportional to 5,108.54, 7,660.27 and 1,598.86

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Solution

The fourth proportional to 5,108.54, 7,660.27 and 1,598.86 is: 2,397.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,108.54 : 7,660.27 = 1,598.86 : x
  2. Step 2: Convert to fraction form
    5,108.54/7,660.27 = 1,598.86/x
  3. Step 3: Cross multiply
    5,108.54x = 7,660.27 × 1,598.86
  4. Step 4: Simplify right side
    5,108.54x = 12,247,732.41
  5. Step 5: Solve for x
    x = 12,247,732.41/5,108.54
  6. Step 6: Final answer
    x = 2,397.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.