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Finding the Fourth Proportional to 5,799, 8,699.94 and 1,695

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Solution

The fourth proportional to 5,799, 8,699.94 and 1,695 is: 2,542.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,799 : 8,699.94 = 1,695 : x
  2. Step 2: Convert to fraction form
    5,799/8,699.94 = 1,695/x
  3. Step 3: Cross multiply
    5,799x = 8,699.94 × 1,695
  4. Step 4: Simplify right side
    5,799x = 14,746,398.30
  5. Step 5: Solve for x
    x = 14,746,398.30/5,799
  6. Step 6: Final answer
    x = 2,542.92

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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.