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Finding the Fourth Proportional to 5,525.66, 7,627.02 and 4,414.34

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Solution

The fourth proportional to 5,525.66, 7,627.02 and 4,414.34 is: 6,093.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,525.66 : 7,627.02 = 4,414.34 : x
  2. Step 2: Convert to fraction form
    5,525.66/7,627.02 = 4,414.34/x
  3. Step 3: Cross multiply
    5,525.66x = 7,627.02 × 4,414.34
  4. Step 4: Simplify right side
    5,525.66x = 33,668,259.47
  5. Step 5: Solve for x
    x = 33,668,259.47/5,525.66
  6. Step 6: Final answer
    x = 6,093.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.