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Finding the Fourth Proportional to 3,106.60, 4,659.90 and 2,887.90

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Solution

The fourth proportional to 3,106.60, 4,659.90 and 2,887.90 is: 4,331.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.60 : 4,659.90 = 2,887.90 : x
  2. Step 2: Convert to fraction form
    3,106.60/4,659.90 = 2,887.90/x
  3. Step 3: Cross multiply
    3,106.60x = 4,659.90 × 2,887.90
  4. Step 4: Simplify right side
    3,106.60x = 13,457,325.21
  5. Step 5: Solve for x
    x = 13,457,325.21/3,106.60
  6. Step 6: Final answer
    x = 4,331.85

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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.