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Finding the Fourth Proportional to 3,573.70, 5,360.63 and 976.64

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Solution

The fourth proportional to 3,573.70, 5,360.63 and 976.64 is: 1,464.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,573.70 : 5,360.63 = 976.64 : x
  2. Step 2: Convert to fraction form
    3,573.70/5,360.63 = 976.64/x
  3. Step 3: Cross multiply
    3,573.70x = 5,360.63 × 976.64
  4. Step 4: Simplify right side
    3,573.70x = 5,235,374.00
  5. Step 5: Solve for x
    x = 5,235,374.00/3,573.70
  6. Step 6: Final answer
    x = 1,464.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.