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Finding the Fourth Proportional to 5,781.45, 7,978.45 and 3,128.91

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Solution

The fourth proportional to 5,781.45, 7,978.45 and 3,128.91 is: 4,317.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781.45 : 7,978.45 = 3,128.91 : x
  2. Step 2: Convert to fraction form
    5,781.45/7,978.45 = 3,128.91/x
  3. Step 3: Cross multiply
    5,781.45x = 7,978.45 × 3,128.91
  4. Step 4: Simplify right side
    5,781.45x = 24,963,859.81
  5. Step 5: Solve for x
    x = 24,963,859.81/5,781.45
  6. Step 6: Final answer
    x = 4,317.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.