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Finding the Fourth Proportional to 5,419.75, 7,480.46 and 3,294.83

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Solution

The fourth proportional to 5,419.75, 7,480.46 and 3,294.83 is: 4,547.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,419.75 : 7,480.46 = 3,294.83 : x
  2. Step 2: Convert to fraction form
    5,419.75/7,480.46 = 3,294.83/x
  3. Step 3: Cross multiply
    5,419.75x = 7,480.46 × 3,294.83
  4. Step 4: Simplify right side
    5,419.75x = 24,646,837.15
  5. Step 5: Solve for x
    x = 24,646,837.15/5,419.75
  6. Step 6: Final answer
    x = 4,547.60

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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.