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Finding the Fourth Proportional to 5,188.52, 7,781.64 and 1,489.93

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Solution

The fourth proportional to 5,188.52, 7,781.64 and 1,489.93 is: 2,234.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.52 : 7,781.64 = 1,489.93 : x
  2. Step 2: Convert to fraction form
    5,188.52/7,781.64 = 1,489.93/x
  3. Step 3: Cross multiply
    5,188.52x = 7,781.64 × 1,489.93
  4. Step 4: Simplify right side
    5,188.52x = 11,594,098.89
  5. Step 5: Solve for x
    x = 11,594,098.89/5,188.52
  6. Step 6: Final answer
    x = 2,234.57

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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.