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Finding the Fourth Proportional to 4,402.80, 6,592.05 and 3,430.80

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Solution

The fourth proportional to 4,402.80, 6,592.05 and 3,430.80 is: 5,136.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,402.80 : 6,592.05 = 3,430.80 : x
  2. Step 2: Convert to fraction form
    4,402.80/6,592.05 = 3,430.80/x
  3. Step 3: Cross multiply
    4,402.80x = 6,592.05 × 3,430.80
  4. Step 4: Simplify right side
    4,402.80x = 22,616,005.14
  5. Step 5: Solve for x
    x = 22,616,005.14/4,402.80
  6. Step 6: Final answer
    x = 5,136.73

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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.