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Finding the Fourth Proportional to 3,686.90, 5,084.02 and 2,847.74

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Solution

The fourth proportional to 3,686.90, 5,084.02 and 2,847.74 is: 3,926.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.90 : 5,084.02 = 2,847.74 : x
  2. Step 2: Convert to fraction form
    3,686.90/5,084.02 = 2,847.74/x
  3. Step 3: Cross multiply
    3,686.90x = 5,084.02 × 2,847.74
  4. Step 4: Simplify right side
    3,686.90x = 14,477,967.11
  5. Step 5: Solve for x
    x = 14,477,967.11/3,686.90
  6. Step 6: Final answer
    x = 3,926.87

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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.