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Finding the Fourth Proportional to 5,219.15, 7,823.25 and 3,830.40

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Solution

The fourth proportional to 5,219.15, 7,823.25 and 3,830.40 is: 5,741.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,219.15 : 7,823.25 = 3,830.40 : x
  2. Step 2: Convert to fraction form
    5,219.15/7,823.25 = 3,830.40/x
  3. Step 3: Cross multiply
    5,219.15x = 7,823.25 × 3,830.40
  4. Step 4: Simplify right side
    5,219.15x = 29,966,176.80
  5. Step 5: Solve for x
    x = 29,966,176.80/5,219.15
  6. Step 6: Final answer
    x = 5,741.59

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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.