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Finding the Fourth Proportional to 3,652.94, 5,483.31 and 1,573.97

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Solution

The fourth proportional to 3,652.94, 5,483.31 and 1,573.97 is: 2,362.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,652.94 : 5,483.31 = 1,573.97 : x
  2. Step 2: Convert to fraction form
    3,652.94/5,483.31 = 1,573.97/x
  3. Step 3: Cross multiply
    3,652.94x = 5,483.31 × 1,573.97
  4. Step 4: Simplify right side
    3,652.94x = 8,630,565.44
  5. Step 5: Solve for x
    x = 8,630,565.44/3,652.94
  6. Step 6: Final answer
    x = 2,362.64

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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.