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Finding the Fourth Proportional to 4,741.92, 7,112.16 and 1,622.01

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Solution

The fourth proportional to 4,741.92, 7,112.16 and 1,622.01 is: 2,432.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,741.92 : 7,112.16 = 1,622.01 : x
  2. Step 2: Convert to fraction form
    4,741.92/7,112.16 = 1,622.01/x
  3. Step 3: Cross multiply
    4,741.92x = 7,112.16 × 1,622.01
  4. Step 4: Simplify right side
    4,741.92x = 11,535,994.64
  5. Step 5: Solve for x
    x = 11,535,994.64/4,741.92
  6. Step 6: Final answer
    x = 2,432.77

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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.