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Finding the Fourth Proportional to 5,298.63, 7,949.24 and 1,600.64

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Solution

The fourth proportional to 5,298.63, 7,949.24 and 1,600.64 is: 2,401.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,298.63 : 7,949.24 = 1,600.64 : x
  2. Step 2: Convert to fraction form
    5,298.63/7,949.24 = 1,600.64/x
  3. Step 3: Cross multiply
    5,298.63x = 7,949.24 × 1,600.64
  4. Step 4: Simplify right side
    5,298.63x = 12,723,823.76
  5. Step 5: Solve for x
    x = 12,723,823.76/5,298.63
  6. Step 6: Final answer
    x = 2,401.34

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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.