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Finding the Fourth Proportional to 3,524.02, 5,285.60 and 927.16

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Solution

The fourth proportional to 3,524.02, 5,285.60 and 927.16 is: 1,390.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,524.02 : 5,285.60 = 927.16 : x
  2. Step 2: Convert to fraction form
    3,524.02/5,285.60 = 927.16/x
  3. Step 3: Cross multiply
    3,524.02x = 5,285.60 × 927.16
  4. Step 4: Simplify right side
    3,524.02x = 4,900,570.47
  5. Step 5: Solve for x
    x = 4,900,570.47/3,524.02
  6. Step 6: Final answer
    x = 1,390.62

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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.