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Finding the Fourth Proportional to 5,793, 8,689.52 and 1,689

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Solution

The fourth proportional to 5,793, 8,689.52 and 1,689 is: 2,533.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,793 : 8,689.52 = 1,689 : x
  2. Step 2: Convert to fraction form
    5,793/8,689.52 = 1,689/x
  3. Step 3: Cross multiply
    5,793x = 8,689.52 × 1,689
  4. Step 4: Simplify right side
    5,793x = 14,676,599.28
  5. Step 5: Solve for x
    x = 14,676,599.28/5,793
  6. Step 6: Final answer
    x = 2,533.51

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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.