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Finding the Fourth Proportional to 4,712.92, 7,070.46 and 2,635

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Solution

The fourth proportional to 4,712.92, 7,070.46 and 2,635 is: 3,953.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712.92 : 7,070.46 = 2,635 : x
  2. Step 2: Convert to fraction form
    4,712.92/7,070.46 = 2,635/x
  3. Step 3: Cross multiply
    4,712.92x = 7,070.46 × 2,635
  4. Step 4: Simplify right side
    4,712.92x = 18,630,662.10
  5. Step 5: Solve for x
    x = 18,630,662.10/4,712.92
  6. Step 6: Final answer
    x = 3,953.10

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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.