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Finding the Fourth Proportional to 5,525.64, 7,628.09 and 4,328.49

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Solution

The fourth proportional to 5,525.64, 7,628.09 and 4,328.49 is: 5,975.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,525.64 : 7,628.09 = 4,328.49 : x
  2. Step 2: Convert to fraction form
    5,525.64/7,628.09 = 4,328.49/x
  3. Step 3: Cross multiply
    5,525.64x = 7,628.09 × 4,328.49
  4. Step 4: Simplify right side
    5,525.64x = 33,018,122.11
  5. Step 5: Solve for x
    x = 33,018,122.11/5,525.64
  6. Step 6: Final answer
    x = 5,975.44

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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.