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Finding the Fourth Proportional to 5,664.72, 8,502.49 and 3,477.72

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Solution

The fourth proportional to 5,664.72, 8,502.49 and 3,477.72 is: 5,219.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664.72 : 8,502.49 = 3,477.72 : x
  2. Step 2: Convert to fraction form
    5,664.72/8,502.49 = 3,477.72/x
  3. Step 3: Cross multiply
    5,664.72x = 8,502.49 × 3,477.72
  4. Step 4: Simplify right side
    5,664.72x = 29,569,315.75
  5. Step 5: Solve for x
    x = 29,569,315.75/5,664.72
  6. Step 6: Final answer
    x = 5,219.90

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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.