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Finding the Fourth Proportional to 3,575.45, 5,363.89 and 1,384.20

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Solution

The fourth proportional to 3,575.45, 5,363.89 and 1,384.20 is: 2,076.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,575.45 : 5,363.89 = 1,384.20 : x
  2. Step 2: Convert to fraction form
    3,575.45/5,363.89 = 1,384.20/x
  3. Step 3: Cross multiply
    3,575.45x = 5,363.89 × 1,384.20
  4. Step 4: Simplify right side
    3,575.45x = 7,424,693.08
  5. Step 5: Solve for x
    x = 7,424,693.08/3,575.45
  6. Step 6: Final answer
    x = 2,076.57

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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.