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Finding the Fourth Proportional to 3,114.20, 4,662.03 and 3,110.10

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Solution

The fourth proportional to 3,114.20, 4,662.03 and 3,110.10 is: 4,655.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.20 : 4,662.03 = 3,110.10 : x
  2. Step 2: Convert to fraction form
    3,114.20/4,662.03 = 3,110.10/x
  3. Step 3: Cross multiply
    3,114.20x = 4,662.03 × 3,110.10
  4. Step 4: Simplify right side
    3,114.20x = 14,499,364.94
  5. Step 5: Solve for x
    x = 14,499,364.94/3,114.20
  6. Step 6: Final answer
    x = 4,655.89

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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.