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Finding the Fourth Proportional to 5,412.25, 7,472.35 and 4,419.90

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Solution

The fourth proportional to 5,412.25, 7,472.35 and 4,419.90 is: 6,102.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,412.25 : 7,472.35 = 4,419.90 : x
  2. Step 2: Convert to fraction form
    5,412.25/7,472.35 = 4,419.90/x
  3. Step 3: Cross multiply
    5,412.25x = 7,472.35 × 4,419.90
  4. Step 4: Simplify right side
    5,412.25x = 33,027,045.29
  5. Step 5: Solve for x
    x = 33,027,045.29/5,412.25
  6. Step 6: Final answer
    x = 6,102.27

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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.