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Finding the Fourth Proportional to 5,883.61, 8,806.48 and 3,106.33

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Solution

The fourth proportional to 5,883.61, 8,806.48 and 3,106.33 is: 4,649.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,883.61 : 8,806.48 = 3,106.33 : x
  2. Step 2: Convert to fraction form
    5,883.61/8,806.48 = 3,106.33/x
  3. Step 3: Cross multiply
    5,883.61x = 8,806.48 × 3,106.33
  4. Step 4: Simplify right side
    5,883.61x = 27,355,833.02
  5. Step 5: Solve for x
    x = 27,355,833.02/5,883.61
  6. Step 6: Final answer
    x = 4,649.50

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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.