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Finding the Fourth Proportional to 6,181.57, 9,260 and 3,715.05

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Solution

The fourth proportional to 6,181.57, 9,260 and 3,715.05 is: 5,565.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,181.57 : 9,260 = 3,715.05 : x
  2. Step 2: Convert to fraction form
    6,181.57/9,260 = 3,715.05/x
  3. Step 3: Cross multiply
    6,181.57x = 9,260 × 3,715.05
  4. Step 4: Simplify right side
    6,181.57x = 34,401,363
  5. Step 5: Solve for x
    x = 34,401,363/6,181.57
  6. Step 6: Final answer
    x = 5,565.15

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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.