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Finding the Fourth Proportional to 5,944.57, 8,917.05 and 1,562.06

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Solution

The fourth proportional to 5,944.57, 8,917.05 and 1,562.06 is: 2,343.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,944.57 : 8,917.05 = 1,562.06 : x
  2. Step 2: Convert to fraction form
    5,944.57/8,917.05 = 1,562.06/x
  3. Step 3: Cross multiply
    5,944.57x = 8,917.05 × 1,562.06
  4. Step 4: Simplify right side
    5,944.57x = 13,928,967.12
  5. Step 5: Solve for x
    x = 13,928,967.12/5,944.57
  6. Step 6: Final answer
    x = 2,343.14

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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.