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Finding the Fourth Proportional to 4,493.12, 6,734.64 and 2,298.68

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Solution

The fourth proportional to 4,493.12, 6,734.64 and 2,298.68 is: 3,445.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,493.12 : 6,734.64 = 2,298.68 : x
  2. Step 2: Convert to fraction form
    4,493.12/6,734.64 = 2,298.68/x
  3. Step 3: Cross multiply
    4,493.12x = 6,734.64 × 2,298.68
  4. Step 4: Simplify right side
    4,493.12x = 15,480,782.28
  5. Step 5: Solve for x
    x = 15,480,782.28/4,493.12
  6. Step 6: Final answer
    x = 3,445.44

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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.