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Finding the Fourth Proportional to 3,507.04, 5,260.43 and 874.54

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Solution

The fourth proportional to 3,507.04, 5,260.43 and 874.54 is: 1,311.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,507.04 : 5,260.43 = 874.54 : x
  2. Step 2: Convert to fraction form
    3,507.04/5,260.43 = 874.54/x
  3. Step 3: Cross multiply
    3,507.04x = 5,260.43 × 874.54
  4. Step 4: Simplify right side
    3,507.04x = 4,600,445.49
  5. Step 5: Solve for x
    x = 4,600,445.49/3,507.04
  6. Step 6: Final answer
    x = 1,311.78

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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.