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Finding the Fourth Proportional to 4,798.43, 7,197.17 and 1,677.86

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Solution

The fourth proportional to 4,798.43, 7,197.17 and 1,677.86 is: 2,516.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,798.43 : 7,197.17 = 1,677.86 : x
  2. Step 2: Convert to fraction form
    4,798.43/7,197.17 = 1,677.86/x
  3. Step 3: Cross multiply
    4,798.43x = 7,197.17 × 1,677.86
  4. Step 4: Simplify right side
    4,798.43x = 12,075,799.28
  5. Step 5: Solve for x
    x = 12,075,799.28/4,798.43
  6. Step 6: Final answer
    x = 2,516.62

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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.