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Finding the Fourth Proportional to 3,670.06, 5,506.17 and 2,847.10

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Solution

The fourth proportional to 3,670.06, 5,506.17 and 2,847.10 is: 4,271.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.06 : 5,506.17 = 2,847.10 : x
  2. Step 2: Convert to fraction form
    3,670.06/5,506.17 = 2,847.10/x
  3. Step 3: Cross multiply
    3,670.06x = 5,506.17 × 2,847.10
  4. Step 4: Simplify right side
    3,670.06x = 15,676,616.61
  5. Step 5: Solve for x
    x = 15,676,616.61/3,670.06
  6. Step 6: Final answer
    x = 4,271.49

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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.