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Finding the Fourth Proportional to 4,814.40, 7,208.64 and 3,494.37

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Solution

The fourth proportional to 4,814.40, 7,208.64 and 3,494.37 is: 5,232.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,814.40 : 7,208.64 = 3,494.37 : x
  2. Step 2: Convert to fraction form
    4,814.40/7,208.64 = 3,494.37/x
  3. Step 3: Cross multiply
    4,814.40x = 7,208.64 × 3,494.37
  4. Step 4: Simplify right side
    4,814.40x = 25,189,655.36
  5. Step 5: Solve for x
    x = 25,189,655.36/4,814.40
  6. Step 6: Final answer
    x = 5,232.15

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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.