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Finding the Fourth Proportional to 4,127.82, 6,191.92 and 1,354.64

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Solution

The fourth proportional to 4,127.82, 6,191.92 and 1,354.64 is: 2,032.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,127.82 : 6,191.92 = 1,354.64 : x
  2. Step 2: Convert to fraction form
    4,127.82/6,191.92 = 1,354.64/x
  3. Step 3: Cross multiply
    4,127.82x = 6,191.92 × 1,354.64
  4. Step 4: Simplify right side
    4,127.82x = 8,387,822.51
  5. Step 5: Solve for x
    x = 8,387,822.51/4,127.82
  6. Step 6: Final answer
    x = 2,032.02

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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.