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Finding the Fourth Proportional to 5,664.76, 8,497.15 and 2,153.96

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Solution

The fourth proportional to 5,664.76, 8,497.15 and 2,153.96 is: 3,230.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664.76 : 8,497.15 = 2,153.96 : x
  2. Step 2: Convert to fraction form
    5,664.76/8,497.15 = 2,153.96/x
  3. Step 3: Cross multiply
    5,664.76x = 8,497.15 × 2,153.96
  4. Step 4: Simplify right side
    5,664.76x = 18,302,503.69
  5. Step 5: Solve for x
    x = 18,302,503.69/5,664.76
  6. Step 6: Final answer
    x = 3,230.94

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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.