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Finding the Fourth Proportional to 5,041.92, 6,956.83 and 2,945.64

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Solution

The fourth proportional to 5,041.92, 6,956.83 and 2,945.64 is: 4,064.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,041.92 : 6,956.83 = 2,945.64 : x
  2. Step 2: Convert to fraction form
    5,041.92/6,956.83 = 2,945.64/x
  3. Step 3: Cross multiply
    5,041.92x = 6,956.83 × 2,945.64
  4. Step 4: Simplify right side
    5,041.92x = 20,492,316.72
  5. Step 5: Solve for x
    x = 20,492,316.72/5,041.92
  6. Step 6: Final answer
    x = 4,064.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.