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Finding the Fourth Proportional to 3,635.52, 5,444.70 and 1,780.80

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Solution

The fourth proportional to 3,635.52, 5,444.70 and 1,780.80 is: 2,667.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,635.52 : 5,444.70 = 1,780.80 : x
  2. Step 2: Convert to fraction form
    3,635.52/5,444.70 = 1,780.80/x
  3. Step 3: Cross multiply
    3,635.52x = 5,444.70 × 1,780.80
  4. Step 4: Simplify right side
    3,635.52x = 9,695,921.76
  5. Step 5: Solve for x
    x = 9,695,921.76/3,635.52
  6. Step 6: Final answer
    x = 2,667.00

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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.