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Finding the Fourth Proportional to 4,107.54, 6,156.68 and 2,023.13

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Solution

The fourth proportional to 4,107.54, 6,156.68 and 2,023.13 is: 3,032.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,107.54 : 6,156.68 = 2,023.13 : x
  2. Step 2: Convert to fraction form
    4,107.54/6,156.68 = 2,023.13/x
  3. Step 3: Cross multiply
    4,107.54x = 6,156.68 × 2,023.13
  4. Step 4: Simplify right side
    4,107.54x = 12,455,751.72
  5. Step 5: Solve for x
    x = 12,455,751.72/4,107.54
  6. Step 6: Final answer
    x = 3,032.42

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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.