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Finding the Fourth Proportional to 5,412.89, 7,464.84 and 3,419.98

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Solution

The fourth proportional to 5,412.89, 7,464.84 and 3,419.98 is: 4,716.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,412.89 : 7,464.84 = 3,419.98 : x
  2. Step 2: Convert to fraction form
    5,412.89/7,464.84 = 3,419.98/x
  3. Step 3: Cross multiply
    5,412.89x = 7,464.84 × 3,419.98
  4. Step 4: Simplify right side
    5,412.89x = 25,529,603.50
  5. Step 5: Solve for x
    x = 25,529,603.50/5,412.89
  6. Step 6: Final answer
    x = 4,716.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.