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Finding the Fourth Proportional to 4,106.40, 6,155.40 and 2,023.20

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Solution

The fourth proportional to 4,106.40, 6,155.40 and 2,023.20 is: 3,032.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,106.40 : 6,155.40 = 2,023.20 : x
  2. Step 2: Convert to fraction form
    4,106.40/6,155.40 = 2,023.20/x
  3. Step 3: Cross multiply
    4,106.40x = 6,155.40 × 2,023.20
  4. Step 4: Simplify right side
    4,106.40x = 12,453,605.28
  5. Step 5: Solve for x
    x = 12,453,605.28/4,106.40
  6. Step 6: Final answer
    x = 3,032.73

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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.