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Finding the Fourth Proportional to 3,811.40, 5,717.10 and 1,730.60

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Solution

The fourth proportional to 3,811.40, 5,717.10 and 1,730.60 is: 2,595.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,811.40 : 5,717.10 = 1,730.60 : x
  2. Step 2: Convert to fraction form
    3,811.40/5,717.10 = 1,730.60/x
  3. Step 3: Cross multiply
    3,811.40x = 5,717.10 × 1,730.60
  4. Step 4: Simplify right side
    3,811.40x = 9,894,013.26
  5. Step 5: Solve for x
    x = 9,894,013.26/3,811.40
  6. Step 6: Final answer
    x = 2,595.90

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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.