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Finding the Fourth Proportional to 4,655.92, 6,982.77 and 1,881.88

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Solution

The fourth proportional to 4,655.92, 6,982.77 and 1,881.88 is: 2,822.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,655.92 : 6,982.77 = 1,881.88 : x
  2. Step 2: Convert to fraction form
    4,655.92/6,982.77 = 1,881.88/x
  3. Step 3: Cross multiply
    4,655.92x = 6,982.77 × 1,881.88
  4. Step 4: Simplify right side
    4,655.92x = 13,140,735.21
  5. Step 5: Solve for x
    x = 13,140,735.21/4,655.92
  6. Step 6: Final answer
    x = 2,822.37

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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.