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Finding the Fourth Proportional to 3,728.84, 5,593.28 and 1,780.60

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Solution

The fourth proportional to 3,728.84, 5,593.28 and 1,780.60 is: 2,670.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.84 : 5,593.28 = 1,780.60 : x
  2. Step 2: Convert to fraction form
    3,728.84/5,593.28 = 1,780.60/x
  3. Step 3: Cross multiply
    3,728.84x = 5,593.28 × 1,780.60
  4. Step 4: Simplify right side
    3,728.84x = 9,959,394.37
  5. Step 5: Solve for x
    x = 9,959,394.37/3,728.84
  6. Step 6: Final answer
    x = 2,670.91

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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.