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Finding the Fourth Proportional to 5,581.60, 7,703.84 and 4,367.88

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Solution

The fourth proportional to 5,581.60, 7,703.84 and 4,367.88 is: 6,028.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,581.60 : 7,703.84 = 4,367.88 : x
  2. Step 2: Convert to fraction form
    5,581.60/7,703.84 = 4,367.88/x
  3. Step 3: Cross multiply
    5,581.60x = 7,703.84 × 4,367.88
  4. Step 4: Simplify right side
    5,581.60x = 33,649,426.82
  5. Step 5: Solve for x
    x = 33,649,426.82/5,581.60
  6. Step 6: Final answer
    x = 6,028.64

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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.