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Finding the Fourth Proportional to 3,420.98, 5,131.81 and 1,572.62

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Solution

The fourth proportional to 3,420.98, 5,131.81 and 1,572.62 is: 2,359.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.98 : 5,131.81 = 1,572.62 : x
  2. Step 2: Convert to fraction form
    3,420.98/5,131.81 = 1,572.62/x
  3. Step 3: Cross multiply
    3,420.98x = 5,131.81 × 1,572.62
  4. Step 4: Simplify right side
    3,420.98x = 8,070,354.50
  5. Step 5: Solve for x
    x = 8,070,354.50/3,420.98
  6. Step 6: Final answer
    x = 2,359.07

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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.