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Finding the Fourth Proportional to 3,873.02, 5,809.35 and 1,562.90

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Solution

The fourth proportional to 3,873.02, 5,809.35 and 1,562.90 is: 2,344.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.02 : 5,809.35 = 1,562.90 : x
  2. Step 2: Convert to fraction form
    3,873.02/5,809.35 = 1,562.90/x
  3. Step 3: Cross multiply
    3,873.02x = 5,809.35 × 1,562.90
  4. Step 4: Simplify right side
    3,873.02x = 9,079,433.12
  5. Step 5: Solve for x
    x = 9,079,433.12/3,873.02
  6. Step 6: Final answer
    x = 2,344.28

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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.