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Finding the Fourth Proportional to 3,461.52, 4,776.12 and 2,064

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Solution

The fourth proportional to 3,461.52, 4,776.12 and 2,064 is: 2,847.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.52 : 4,776.12 = 2,064 : x
  2. Step 2: Convert to fraction form
    3,461.52/4,776.12 = 2,064/x
  3. Step 3: Cross multiply
    3,461.52x = 4,776.12 × 2,064
  4. Step 4: Simplify right side
    3,461.52x = 9,857,911.68
  5. Step 5: Solve for x
    x = 9,857,911.68/3,461.52
  6. Step 6: Final answer
    x = 2,847.86

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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.