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Finding the Fourth Proportional to 3,423.57, 5,131.23 and 1,572.13

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Solution

The fourth proportional to 3,423.57, 5,131.23 and 1,572.13 is: 2,356.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,423.57 : 5,131.23 = 1,572.13 : x
  2. Step 2: Convert to fraction form
    3,423.57/5,131.23 = 1,572.13/x
  3. Step 3: Cross multiply
    3,423.57x = 5,131.23 × 1,572.13
  4. Step 4: Simplify right side
    3,423.57x = 8,066,960.62
  5. Step 5: Solve for x
    x = 8,066,960.62/3,423.57
  6. Step 6: Final answer
    x = 2,356.30

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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.