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Finding the Fourth Proportional to 4,822.64, 6,656.28 and 2,834

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Solution

The fourth proportional to 4,822.64, 6,656.28 and 2,834 is: 3,911.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,822.64 : 6,656.28 = 2,834 : x
  2. Step 2: Convert to fraction form
    4,822.64/6,656.28 = 2,834/x
  3. Step 3: Cross multiply
    4,822.64x = 6,656.28 × 2,834
  4. Step 4: Simplify right side
    4,822.64x = 18,863,897.52
  5. Step 5: Solve for x
    x = 18,863,897.52/4,822.64
  6. Step 6: Final answer
    x = 3,911.53

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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.