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Finding the Fourth Proportional to 3,139.40, 4,706.64 and 1,906.52

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Solution

The fourth proportional to 3,139.40, 4,706.64 and 1,906.52 is: 2,858.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,139.40 : 4,706.64 = 1,906.52 : x
  2. Step 2: Convert to fraction form
    3,139.40/4,706.64 = 1,906.52/x
  3. Step 3: Cross multiply
    3,139.40x = 4,706.64 × 1,906.52
  4. Step 4: Simplify right side
    3,139.40x = 8,973,303.29
  5. Step 5: Solve for x
    x = 8,973,303.29/3,139.40
  6. Step 6: Final answer
    x = 2,858.29

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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.