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Finding the Fourth Proportional to 4,220.32, 5,820.24 and 3,693.28

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Solution

The fourth proportional to 4,220.32, 5,820.24 and 3,693.28 is: 5,093.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,220.32 : 5,820.24 = 3,693.28 : x
  2. Step 2: Convert to fraction form
    4,220.32/5,820.24 = 3,693.28/x
  3. Step 3: Cross multiply
    4,220.32x = 5,820.24 × 3,693.28
  4. Step 4: Simplify right side
    4,220.32x = 21,495,775.99
  5. Step 5: Solve for x
    x = 21,495,775.99/4,220.32
  6. Step 6: Final answer
    x = 5,093.40

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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.