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Finding the Fourth Proportional to 3,573.37, 5,359.89 and 976.30

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Solution

The fourth proportional to 3,573.37, 5,359.89 and 976.30 is: 1,464.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,573.37 : 5,359.89 = 976.30 : x
  2. Step 2: Convert to fraction form
    3,573.37/5,359.89 = 976.30/x
  3. Step 3: Cross multiply
    3,573.37x = 5,359.89 × 976.30
  4. Step 4: Simplify right side
    3,573.37x = 5,232,860.61
  5. Step 5: Solve for x
    x = 5,232,860.61/3,573.37
  6. Step 6: Final answer
    x = 1,464.40

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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.