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Finding the Fourth Proportional to 5,412.39, 7,464.15 and 3,419.48

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Solution

The fourth proportional to 5,412.39, 7,464.15 and 3,419.48 is: 4,715.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,412.39 : 7,464.15 = 3,419.48 : x
  2. Step 2: Convert to fraction form
    5,412.39/7,464.15 = 3,419.48/x
  3. Step 3: Cross multiply
    5,412.39x = 7,464.15 × 3,419.48
  4. Step 4: Simplify right side
    5,412.39x = 25,523,474.32
  5. Step 5: Solve for x
    x = 25,523,474.32/5,412.39
  6. Step 6: Final answer
    x = 4,715.75

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Why These Related Problems?

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