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Finding the Fourth Proportional to 3,424.32, 5,131.80 and 1,473.84

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Solution

The fourth proportional to 3,424.32, 5,131.80 and 1,473.84 is: 2,208.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424.32 : 5,131.80 = 1,473.84 : x
  2. Step 2: Convert to fraction form
    3,424.32/5,131.80 = 1,473.84/x
  3. Step 3: Cross multiply
    3,424.32x = 5,131.80 × 1,473.84
  4. Step 4: Simplify right side
    3,424.32x = 7,563,452.11
  5. Step 5: Solve for x
    x = 7,563,452.11/3,424.32
  6. Step 6: Final answer
    x = 2,208.75

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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.