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Finding the Fourth Proportional to 4,502.34, 6,748.90 and 1,728.27

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Solution

The fourth proportional to 4,502.34, 6,748.90 and 1,728.27 is: 2,590.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,502.34 : 6,748.90 = 1,728.27 : x
  2. Step 2: Convert to fraction form
    4,502.34/6,748.90 = 1,728.27/x
  3. Step 3: Cross multiply
    4,502.34x = 6,748.90 × 1,728.27
  4. Step 4: Simplify right side
    4,502.34x = 11,663,895.89
  5. Step 5: Solve for x
    x = 11,663,895.89/4,502.34
  6. Step 6: Final answer
    x = 2,590.63

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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.