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Finding the Fourth Proportional to 5,671.82, 8,491.92 and 2,892.50

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Solution

The fourth proportional to 5,671.82, 8,491.92 and 2,892.50 is: 4,330.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.82 : 8,491.92 = 2,892.50 : x
  2. Step 2: Convert to fraction form
    5,671.82/8,491.92 = 2,892.50/x
  3. Step 3: Cross multiply
    5,671.82x = 8,491.92 × 2,892.50
  4. Step 4: Simplify right side
    5,671.82x = 24,562,878.60
  5. Step 5: Solve for x
    x = 24,562,878.60/5,671.82
  6. Step 6: Final answer
    x = 4,330.69

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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.