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Finding the Fourth Proportional to 3,628.56, 5,440.95 and 1,780.02

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Solution

The fourth proportional to 3,628.56, 5,440.95 and 1,780.02 is: 2,669.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,628.56 : 5,440.95 = 1,780.02 : x
  2. Step 2: Convert to fraction form
    3,628.56/5,440.95 = 1,780.02/x
  3. Step 3: Cross multiply
    3,628.56x = 5,440.95 × 1,780.02
  4. Step 4: Simplify right side
    3,628.56x = 9,684,999.82
  5. Step 5: Solve for x
    x = 9,684,999.82/3,628.56
  6. Step 6: Final answer
    x = 2,669.10

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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.