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Finding the Fourth Proportional to 5,648.50, 7,794.93 and 3,440.50

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Solution

The fourth proportional to 5,648.50, 7,794.93 and 3,440.50 is: 4,747.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.50 : 7,794.93 = 3,440.50 : x
  2. Step 2: Convert to fraction form
    5,648.50/7,794.93 = 3,440.50/x
  3. Step 3: Cross multiply
    5,648.50x = 7,794.93 × 3,440.50
  4. Step 4: Simplify right side
    5,648.50x = 26,818,456.67
  5. Step 5: Solve for x
    x = 26,818,456.67/5,648.50
  6. Step 6: Final answer
    x = 4,747.89

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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.