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Finding the Fourth Proportional to 3,423.80, 5,131.68 and 3,012.08

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Solution

The fourth proportional to 3,423.80, 5,131.68 and 3,012.08 is: 4,514.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,423.80 : 5,131.68 = 3,012.08 : x
  2. Step 2: Convert to fraction form
    3,423.80/5,131.68 = 3,012.08/x
  3. Step 3: Cross multiply
    3,423.80x = 5,131.68 × 3,012.08
  4. Step 4: Simplify right side
    3,423.80x = 15,457,030.69
  5. Step 5: Solve for x
    x = 15,457,030.69/3,423.80
  6. Step 6: Final answer
    x = 4,514.58

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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.