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Finding the Fourth Proportional to 5,181.57, 7,767.19 and 4,143.35

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Solution

The fourth proportional to 5,181.57, 7,767.19 and 4,143.35 is: 6,210.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,181.57 : 7,767.19 = 4,143.35 : x
  2. Step 2: Convert to fraction form
    5,181.57/7,767.19 = 4,143.35/x
  3. Step 3: Cross multiply
    5,181.57x = 7,767.19 × 4,143.35
  4. Step 4: Simplify right side
    5,181.57x = 32,182,211.28
  5. Step 5: Solve for x
    x = 32,182,211.28/5,181.57
  6. Step 6: Final answer
    x = 6,210.90

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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.