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Finding the Fourth Proportional to 5,849.46, 8,774.08 and 1,689.30

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Solution

The fourth proportional to 5,849.46, 8,774.08 and 1,689.30 is: 2,533.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,849.46 : 8,774.08 = 1,689.30 : x
  2. Step 2: Convert to fraction form
    5,849.46/8,774.08 = 1,689.30/x
  3. Step 3: Cross multiply
    5,849.46x = 8,774.08 × 1,689.30
  4. Step 4: Simplify right side
    5,849.46x = 14,822,049.12
  5. Step 5: Solve for x
    x = 14,822,049.12/5,849.46
  6. Step 6: Final answer
    x = 2,533.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.