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Finding the Fourth Proportional to 5,720.16, 8,579.76 and 3,883.08

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Solution

The fourth proportional to 5,720.16, 8,579.76 and 3,883.08 is: 5,824.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,720.16 : 8,579.76 = 3,883.08 : x
  2. Step 2: Convert to fraction form
    5,720.16/8,579.76 = 3,883.08/x
  3. Step 3: Cross multiply
    5,720.16x = 8,579.76 × 3,883.08
  4. Step 4: Simplify right side
    5,720.16x = 33,315,894.46
  5. Step 5: Solve for x
    x = 33,315,894.46/5,720.16
  6. Step 6: Final answer
    x = 5,824.29

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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.