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Finding the Fourth Proportional to 3,628.80, 5,440.32 and 2,088

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Solution

The fourth proportional to 3,628.80, 5,440.32 and 2,088 is: 3,130.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,628.80 : 5,440.32 = 2,088 : x
  2. Step 2: Convert to fraction form
    3,628.80/5,440.32 = 2,088/x
  3. Step 3: Cross multiply
    3,628.80x = 5,440.32 × 2,088
  4. Step 4: Simplify right side
    3,628.80x = 11,359,388.16
  5. Step 5: Solve for x
    x = 11,359,388.16/3,628.80
  6. Step 6: Final answer
    x = 3,130.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.